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Simplifying 10(1 + -1x) = -5(3 + 3x) (1 * 10 + -1x * 10) = -5(3 + 3x) (10 + -10x) = -5(3 + 3x) 10 + -10x = (3 * -5 + 3x * -5) 10 + -10x = (-15 + -15x) Solving 10 + -10x = -15 + -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. 10 + -10x + 15x = -15 + -15x + 15x Combine like terms: -10x + 15x = 5x 10 + 5x = -15 + -15x + 15x Combine like terms: -15x + 15x = 0 10 + 5x = -15 + 0 10 + 5x = -15 Add '-10' to each side of the equation. 10 + -10 + 5x = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -15 + -10 5x = -15 + -10 Combine like terms: -15 + -10 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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