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Simplifying 5 + -2(2x + -3) = 3(x + -1) Reorder the terms: 5 + -2(-3 + 2x) = 3(x + -1) 5 + (-3 * -2 + 2x * -2) = 3(x + -1) 5 + (6 + -4x) = 3(x + -1) Combine like terms: 5 + 6 = 11 11 + -4x = 3(x + -1) Reorder the terms: 11 + -4x = 3(-1 + x) 11 + -4x = (-1 * 3 + x * 3) 11 + -4x = (-3 + 3x) Solving 11 + -4x = -3 + 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. 11 + -4x + -3x = -3 + 3x + -3x Combine like terms: -4x + -3x = -7x 11 + -7x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -7x = -3 + 0 11 + -7x = -3 Add '-11' to each side of the equation. 11 + -11 + -7x = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -7x = -3 + -11 -7x = -3 + -11 Combine like terms: -3 + -11 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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