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Simplifying -5 + 2(-2x + 1) = -2(3x + 6) + 7 Reorder the terms: -5 + 2(1 + -2x) = -2(3x + 6) + 7 -5 + (1 * 2 + -2x * 2) = -2(3x + 6) + 7 -5 + (2 + -4x) = -2(3x + 6) + 7 Combine like terms: -5 + 2 = -3 -3 + -4x = -2(3x + 6) + 7 Reorder the terms: -3 + -4x = -2(6 + 3x) + 7 -3 + -4x = (6 * -2 + 3x * -2) + 7 -3 + -4x = (-12 + -6x) + 7 Reorder the terms: -3 + -4x = -12 + 7 + -6x Combine like terms: -12 + 7 = -5 -3 + -4x = -5 + -6x Solving -3 + -4x = -5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + -4x + 6x = -5 + -6x + 6x Combine like terms: -4x + 6x = 2x -3 + 2x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 2x = -5 + 0 -3 + 2x = -5 Add '3' to each side of the equation. -3 + 3 + 2x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -5 + 3 2x = -5 + 3 Combine like terms: -5 + 3 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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