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Simplifying 2x + -5(x + -3) = 2(x + -10) Reorder the terms: 2x + -5(-3 + x) = 2(x + -10) 2x + (-3 * -5 + x * -5) = 2(x + -10) 2x + (15 + -5x) = 2(x + -10) Reorder the terms: 15 + 2x + -5x = 2(x + -10) Combine like terms: 2x + -5x = -3x 15 + -3x = 2(x + -10) Reorder the terms: 15 + -3x = 2(-10 + x) 15 + -3x = (-10 * 2 + x * 2) 15 + -3x = (-20 + 2x) Solving 15 + -3x = -20 + 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 = -20 + 2x + -2x Combine like terms: -3x + -2x = -5x 15 + -5x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -5x = -20 + 0 15 + -5x = -20 Add '-15' to each side of the equation. 15 + -15 + -5x = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -20 + -15 -5x = -20 + -15 Combine like terms: -20 + -15 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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