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Simplifying 8 + -2(2x + 3) = -11 + 3(x + 1) Reorder the terms: 8 + -2(3 + 2x) = -11 + 3(x + 1) 8 + (3 * -2 + 2x * -2) = -11 + 3(x + 1) 8 + (-6 + -4x) = -11 + 3(x + 1) Combine like terms: 8 + -6 = 2 2 + -4x = -11 + 3(x + 1) Reorder the terms: 2 + -4x = -11 + 3(1 + x) 2 + -4x = -11 + (1 * 3 + x * 3) 2 + -4x = -11 + (3 + 3x) Combine like terms: -11 + 3 = -8 2 + -4x = -8 + 3x Solving 2 + -4x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + -4x + -3x = -8 + 3x + -3x Combine like terms: -4x + -3x = -7x 2 + -7x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -7x = -8 + 0 2 + -7x = -8 Add '-2' to each side of the equation. 2 + -2 + -7x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -8 + -2 -7x = -8 + -2 Combine like terms: -8 + -2 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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