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Simplifying 5(x + -1) + -2(x + 4) = 2(x + 1) Reorder the terms: 5(-1 + x) + -2(x + 4) = 2(x + 1) (-1 * 5 + x * 5) + -2(x + 4) = 2(x + 1) (-5 + 5x) + -2(x + 4) = 2(x + 1) Reorder the terms: -5 + 5x + -2(4 + x) = 2(x + 1) -5 + 5x + (4 * -2 + x * -2) = 2(x + 1) -5 + 5x + (-8 + -2x) = 2(x + 1) Reorder the terms: -5 + -8 + 5x + -2x = 2(x + 1) Combine like terms: -5 + -8 = -13 -13 + 5x + -2x = 2(x + 1) Combine like terms: 5x + -2x = 3x -13 + 3x = 2(x + 1) Reorder the terms: -13 + 3x = 2(1 + x) -13 + 3x = (1 * 2 + x * 2) -13 + 3x = (2 + 2x) Solving -13 + 3x = 2 + 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. -13 + 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x -13 + 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 1x = 2 + 0 -13 + 1x = 2 Add '13' to each side of the equation. -13 + 13 + 1x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 2 + 13 1x = 2 + 13 Combine like terms: 2 + 13 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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