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Simplifying 6(x + -15) + 4x + -30 = 5(x + -25) Reorder the terms: 6(-15 + x) + 4x + -30 = 5(x + -25) (-15 * 6 + x * 6) + 4x + -30 = 5(x + -25) (-90 + 6x) + 4x + -30 = 5(x + -25) Reorder the terms: -90 + -30 + 6x + 4x = 5(x + -25) Combine like terms: -90 + -30 = -120 -120 + 6x + 4x = 5(x + -25) Combine like terms: 6x + 4x = 10x -120 + 10x = 5(x + -25) Reorder the terms: -120 + 10x = 5(-25 + x) -120 + 10x = (-25 * 5 + x * 5) -120 + 10x = (-125 + 5x) Solving -120 + 10x = -125 + 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. -120 + 10x + -5x = -125 + 5x + -5x Combine like terms: 10x + -5x = 5x -120 + 5x = -125 + 5x + -5x Combine like terms: 5x + -5x = 0 -120 + 5x = -125 + 0 -120 + 5x = -125 Add '120' to each side of the equation. -120 + 120 + 5x = -125 + 120 Combine like terms: -120 + 120 = 0 0 + 5x = -125 + 120 5x = -125 + 120 Combine like terms: -125 + 120 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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