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Simplifying 2(x + -5) + -2(9 + -2x) = 5(x + -7) + 4 Reorder the terms: 2(-5 + x) + -2(9 + -2x) = 5(x + -7) + 4 (-5 * 2 + x * 2) + -2(9 + -2x) = 5(x + -7) + 4 (-10 + 2x) + -2(9 + -2x) = 5(x + -7) + 4 -10 + 2x + (9 * -2 + -2x * -2) = 5(x + -7) + 4 -10 + 2x + (-18 + 4x) = 5(x + -7) + 4 Reorder the terms: -10 + -18 + 2x + 4x = 5(x + -7) + 4 Combine like terms: -10 + -18 = -28 -28 + 2x + 4x = 5(x + -7) + 4 Combine like terms: 2x + 4x = 6x -28 + 6x = 5(x + -7) + 4 Reorder the terms: -28 + 6x = 5(-7 + x) + 4 -28 + 6x = (-7 * 5 + x * 5) + 4 -28 + 6x = (-35 + 5x) + 4 Reorder the terms: -28 + 6x = -35 + 4 + 5x Combine like terms: -35 + 4 = -31 -28 + 6x = -31 + 5x Solving -28 + 6x = -31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -28 + 6x + -5x = -31 + 5x + -5x Combine like terms: 6x + -5x = 1x -28 + 1x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 1x = -31 + 0 -28 + 1x = -31 Add '28' to each side of the equation. -28 + 28 + 1x = -31 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -31 + 28 1x = -31 + 28 Combine like terms: -31 + 28 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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