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Simplifying 2x + -3(x + -5) = 6x + 2(2x + 10) Reorder the terms: 2x + -3(-5 + x) = 6x + 2(2x + 10) 2x + (-5 * -3 + x * -3) = 6x + 2(2x + 10) 2x + (15 + -3x) = 6x + 2(2x + 10) Reorder the terms: 15 + 2x + -3x = 6x + 2(2x + 10) Combine like terms: 2x + -3x = -1x 15 + -1x = 6x + 2(2x + 10) Reorder the terms: 15 + -1x = 6x + 2(10 + 2x) 15 + -1x = 6x + (10 * 2 + 2x * 2) 15 + -1x = 6x + (20 + 4x) Reorder the terms: 15 + -1x = 20 + 6x + 4x Combine like terms: 6x + 4x = 10x 15 + -1x = 20 + 10x Solving 15 + -1x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + -1x + -10x = 20 + 10x + -10x Combine like terms: -1x + -10x = -11x 15 + -11x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -11x = 20 + 0 15 + -11x = 20 Add '-15' to each side of the equation. 15 + -15 + -11x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = 20 + -15 -11x = 20 + -15 Combine like terms: 20 + -15 = 5 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545
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