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Simplifying -9x + -1x = -10(1 + x) + -5(x + -10) Combine like terms: -9x + -1x = -10x -10x = -10(1 + x) + -5(x + -10) -10x = (1 * -10 + x * -10) + -5(x + -10) -10x = (-10 + -10x) + -5(x + -10) Reorder the terms: -10x = -10 + -10x + -5(-10 + x) -10x = -10 + -10x + (-10 * -5 + x * -5) -10x = -10 + -10x + (50 + -5x) Reorder the terms: -10x = -10 + 50 + -10x + -5x Combine like terms: -10 + 50 = 40 -10x = 40 + -10x + -5x Combine like terms: -10x + -5x = -15x -10x = 40 + -15x Solving -10x = 40 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -10x + 15x = 40 + -15x + 15x Combine like terms: -10x + 15x = 5x 5x = 40 + -15x + 15x Combine like terms: -15x + 15x = 0 5x = 40 + 0 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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