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Simplifying -3(-1x + -10) + -15 = 5(x + -10) + -3x Reorder the terms: -3(-10 + -1x) + -15 = 5(x + -10) + -3x (-10 * -3 + -1x * -3) + -15 = 5(x + -10) + -3x (30 + 3x) + -15 = 5(x + -10) + -3x Reorder the terms: 30 + -15 + 3x = 5(x + -10) + -3x Combine like terms: 30 + -15 = 15 15 + 3x = 5(x + -10) + -3x Reorder the terms: 15 + 3x = 5(-10 + x) + -3x 15 + 3x = (-10 * 5 + x * 5) + -3x 15 + 3x = (-50 + 5x) + -3x Combine like terms: 5x + -3x = 2x 15 + 3x = -50 + 2x Solving 15 + 3x = -50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 3x + -2x = -50 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x = -50 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x = -50 + 0 15 + 1x = -50 Add '-15' to each side of the equation. 15 + -15 + 1x = -50 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -50 + -15 1x = -50 + -15 Combine like terms: -50 + -15 = -65 1x = -65 Divide each side by '1'. x = -65 Simplifying x = -65
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