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Simplifying -10x + 10 = 5(-3x + -9) Reorder the terms: 10 + -10x = 5(-3x + -9) Reorder the terms: 10 + -10x = 5(-9 + -3x) 10 + -10x = (-9 * 5 + -3x * 5) 10 + -10x = (-45 + -15x) Solving 10 + -10x = -45 + -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 = -45 + -15x + 15x Combine like terms: -10x + 15x = 5x 10 + 5x = -45 + -15x + 15x Combine like terms: -15x + 15x = 0 10 + 5x = -45 + 0 10 + 5x = -45 Add '-10' to each side of the equation. 10 + -10 + 5x = -45 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -45 + -10 5x = -45 + -10 Combine like terms: -45 + -10 = -55 5x = -55 Divide each side by '5'. x = -11 Simplifying x = -11
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