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Simplifying 5(x + -5) + -1(6x + -9) = -2x Reorder the terms: 5(-5 + x) + -1(6x + -9) = -2x (-5 * 5 + x * 5) + -1(6x + -9) = -2x (-25 + 5x) + -1(6x + -9) = -2x Reorder the terms: -25 + 5x + -1(-9 + 6x) = -2x -25 + 5x + (-9 * -1 + 6x * -1) = -2x -25 + 5x + (9 + -6x) = -2x Reorder the terms: -25 + 9 + 5x + -6x = -2x Combine like terms: -25 + 9 = -16 -16 + 5x + -6x = -2x Combine like terms: 5x + -6x = -1x -16 + -1x = -2x Solving -16 + -1x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x -16 + 1x = -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 1x = 0 Add '16' to each side of the equation. -16 + 16 + 1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 0 + 16 1x = 0 + 16 Combine like terms: 0 + 16 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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