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Simplifying -2(2x + 2) + -5 = -3(x + 5) + 2x Reorder the terms: -2(2 + 2x) + -5 = -3(x + 5) + 2x (2 * -2 + 2x * -2) + -5 = -3(x + 5) + 2x (-4 + -4x) + -5 = -3(x + 5) + 2x Reorder the terms: -4 + -5 + -4x = -3(x + 5) + 2x Combine like terms: -4 + -5 = -9 -9 + -4x = -3(x + 5) + 2x Reorder the terms: -9 + -4x = -3(5 + x) + 2x -9 + -4x = (5 * -3 + x * -3) + 2x -9 + -4x = (-15 + -3x) + 2x Combine like terms: -3x + 2x = -1x -9 + -4x = -15 + -1x Solving -9 + -4x = -15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + -4x + x = -15 + -1x + x Combine like terms: -4x + x = -3x -9 + -3x = -15 + -1x + x Combine like terms: -1x + x = 0 -9 + -3x = -15 + 0 -9 + -3x = -15 Add '9' to each side of the equation. -9 + 9 + -3x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -15 + 9 -3x = -15 + 9 Combine like terms: -15 + 9 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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