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Simplifying 2(x + 5) + 2(x + -3) = (x + 2) + (3x + -11) + (3x + -11) Reorder the terms: 2(5 + x) + 2(x + -3) = (x + 2) + (3x + -11) + (3x + -11) (5 * 2 + x * 2) + 2(x + -3) = (x + 2) + (3x + -11) + (3x + -11) (10 + 2x) + 2(x + -3) = (x + 2) + (3x + -11) + (3x + -11) Reorder the terms: 10 + 2x + 2(-3 + x) = (x + 2) + (3x + -11) + (3x + -11) 10 + 2x + (-3 * 2 + x * 2) = (x + 2) + (3x + -11) + (3x + -11) 10 + 2x + (-6 + 2x) = (x + 2) + (3x + -11) + (3x + -11) Reorder the terms: 10 + -6 + 2x + 2x = (x + 2) + (3x + -11) + (3x + -11) Combine like terms: 10 + -6 = 4 4 + 2x + 2x = (x + 2) + (3x + -11) + (3x + -11) Combine like terms: 2x + 2x = 4x 4 + 4x = (x + 2) + (3x + -11) + (3x + -11) Reorder the terms: 4 + 4x = (2 + x) + (3x + -11) + (3x + -11) Remove parenthesis around (2 + x) 4 + 4x = 2 + x + (3x + -11) + (3x + -11) Reorder the terms: 4 + 4x = 2 + x + (-11 + 3x) + (3x + -11) Remove parenthesis around (-11 + 3x) 4 + 4x = 2 + x + -11 + 3x + (3x + -11) Reorder the terms: 4 + 4x = 2 + x + -11 + 3x + (-11 + 3x) Remove parenthesis around (-11 + 3x) 4 + 4x = 2 + x + -11 + 3x + -11 + 3x Reorder the terms: 4 + 4x = 2 + -11 + -11 + x + 3x + 3x Combine like terms: 2 + -11 = -9 4 + 4x = -9 + -11 + x + 3x + 3x Combine like terms: -9 + -11 = -20 4 + 4x = -20 + x + 3x + 3x Combine like terms: x + 3x = 4x 4 + 4x = -20 + 4x + 3x Combine like terms: 4x + 3x = 7x 4 + 4x = -20 + 7x Solving 4 + 4x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 4x + -7x = -20 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = -20 + 0 4 + -3x = -20 Add '-4' to each side of the equation. 4 + -4 + -3x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -20 + -4 -3x = -20 + -4 Combine like terms: -20 + -4 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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