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Simplifying 15 + -1(x + -4) = 2(x + 5) Reorder the terms: 15 + -1(-4 + x) = 2(x + 5) 15 + (-4 * -1 + x * -1) = 2(x + 5) 15 + (4 + -1x) = 2(x + 5) Combine like terms: 15 + 4 = 19 19 + -1x = 2(x + 5) Reorder the terms: 19 + -1x = 2(5 + x) 19 + -1x = (5 * 2 + x * 2) 19 + -1x = (10 + 2x) Solving 19 + -1x = 10 + 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. 19 + -1x + -2x = 10 + 2x + -2x Combine like terms: -1x + -2x = -3x 19 + -3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + -3x = 10 + 0 19 + -3x = 10 Add '-19' to each side of the equation. 19 + -19 + -3x = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 10 + -19 -3x = 10 + -19 Combine like terms: 10 + -19 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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