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Simplifying -3x + -1 = 4(x + -1) + -2(3x + 5) Reorder the terms: -1 + -3x = 4(x + -1) + -2(3x + 5) Reorder the terms: -1 + -3x = 4(-1 + x) + -2(3x + 5) -1 + -3x = (-1 * 4 + x * 4) + -2(3x + 5) -1 + -3x = (-4 + 4x) + -2(3x + 5) Reorder the terms: -1 + -3x = -4 + 4x + -2(5 + 3x) -1 + -3x = -4 + 4x + (5 * -2 + 3x * -2) -1 + -3x = -4 + 4x + (-10 + -6x) Reorder the terms: -1 + -3x = -4 + -10 + 4x + -6x Combine like terms: -4 + -10 = -14 -1 + -3x = -14 + 4x + -6x Combine like terms: 4x + -6x = -2x -1 + -3x = -14 + -2x Solving -1 + -3x = -14 + -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. -1 + -3x + 2x = -14 + -2x + 2x Combine like terms: -3x + 2x = -1x -1 + -1x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + -1x = -14 + 0 -1 + -1x = -14 Add '1' to each side of the equation. -1 + 1 + -1x = -14 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -14 + 1 -1x = -14 + 1 Combine like terms: -14 + 1 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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