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Simplifying -5(3 + -1x) + -2x = -1 + -1(x + -4) + 2x (3 * -5 + -1x * -5) + -2x = -1 + -1(x + -4) + 2x (-15 + 5x) + -2x = -1 + -1(x + -4) + 2x Combine like terms: 5x + -2x = 3x -15 + 3x = -1 + -1(x + -4) + 2x Reorder the terms: -15 + 3x = -1 + -1(-4 + x) + 2x -15 + 3x = -1 + (-4 * -1 + x * -1) + 2x -15 + 3x = -1 + (4 + -1x) + 2x Combine like terms: -1 + 4 = 3 -15 + 3x = 3 + -1x + 2x Combine like terms: -1x + 2x = 1x -15 + 3x = 3 + 1x Solving -15 + 3x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15 + 3x + -1x = 3 + 1x + -1x Combine like terms: 3x + -1x = 2x -15 + 2x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 2x = 3 + 0 -15 + 2x = 3 Add '15' to each side of the equation. -15 + 15 + 2x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 3 + 15 2x = 3 + 15 Combine like terms: 3 + 15 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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