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Simplifying -10(x + -10) + -15 = -4x + -1(x + -5) Reorder the terms: -10(-10 + x) + -15 = -4x + -1(x + -5) (-10 * -10 + x * -10) + -15 = -4x + -1(x + -5) (100 + -10x) + -15 = -4x + -1(x + -5) Reorder the terms: 100 + -15 + -10x = -4x + -1(x + -5) Combine like terms: 100 + -15 = 85 85 + -10x = -4x + -1(x + -5) Reorder the terms: 85 + -10x = -4x + -1(-5 + x) 85 + -10x = -4x + (-5 * -1 + x * -1) 85 + -10x = -4x + (5 + -1x) Reorder the terms: 85 + -10x = 5 + -4x + -1x Combine like terms: -4x + -1x = -5x 85 + -10x = 5 + -5x Solving 85 + -10x = 5 + -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. 85 + -10x + 5x = 5 + -5x + 5x Combine like terms: -10x + 5x = -5x 85 + -5x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 85 + -5x = 5 + 0 85 + -5x = 5 Add '-85' to each side of the equation. 85 + -85 + -5x = 5 + -85 Combine like terms: 85 + -85 = 0 0 + -5x = 5 + -85 -5x = 5 + -85 Combine like terms: 5 + -85 = -80 -5x = -80 Divide each side by '-5'. x = 16 Simplifying x = 16
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