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