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Simplifying 6(x + -15) + -5(x + 9) = 15 + -2(x + -15) Reorder the terms: 6(-15 + x) + -5(x + 9) = 15 + -2(x + -15) (-15 * 6 + x * 6) + -5(x + 9) = 15 + -2(x + -15) (-90 + 6x) + -5(x + 9) = 15 + -2(x + -15) Reorder the terms: -90 + 6x + -5(9 + x) = 15 + -2(x + -15) -90 + 6x + (9 * -5 + x * -5) = 15 + -2(x + -15) -90 + 6x + (-45 + -5x) = 15 + -2(x + -15) Reorder the terms: -90 + -45 + 6x + -5x = 15 + -2(x + -15) Combine like terms: -90 + -45 = -135 -135 + 6x + -5x = 15 + -2(x + -15) Combine like terms: 6x + -5x = 1x -135 + 1x = 15 + -2(x + -15) Reorder the terms: -135 + 1x = 15 + -2(-15 + x) -135 + 1x = 15 + (-15 * -2 + x * -2) -135 + 1x = 15 + (30 + -2x) Combine like terms: 15 + 30 = 45 -135 + 1x = 45 + -2x Solving -135 + 1x = 45 + -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. -135 + 1x + 2x = 45 + -2x + 2x Combine like terms: 1x + 2x = 3x -135 + 3x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 -135 + 3x = 45 + 0 -135 + 3x = 45 Add '135' to each side of the equation. -135 + 135 + 3x = 45 + 135 Combine like terms: -135 + 135 = 0 0 + 3x = 45 + 135 3x = 45 + 135 Combine like terms: 45 + 135 = 180 3x = 180 Divide each side by '3'. x = 60 Simplifying x = 60
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