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Simplifying -1(-1 + x) + 10x + -15 = 3x + -4(x + -2) + 15x + -10 (-1 * -1 + x * -1) + 10x + -15 = 3x + -4(x + -2) + 15x + -10 (1 + -1x) + 10x + -15 = 3x + -4(x + -2) + 15x + -10 Reorder the terms: 1 + -15 + -1x + 10x = 3x + -4(x + -2) + 15x + -10 Combine like terms: 1 + -15 = -14 -14 + -1x + 10x = 3x + -4(x + -2) + 15x + -10 Combine like terms: -1x + 10x = 9x -14 + 9x = 3x + -4(x + -2) + 15x + -10 Reorder the terms: -14 + 9x = 3x + -4(-2 + x) + 15x + -10 -14 + 9x = 3x + (-2 * -4 + x * -4) + 15x + -10 -14 + 9x = 3x + (8 + -4x) + 15x + -10 Reorder the terms: -14 + 9x = 8 + -10 + 3x + -4x + 15x Combine like terms: 8 + -10 = -2 -14 + 9x = -2 + 3x + -4x + 15x Combine like terms: 3x + -4x = -1x -14 + 9x = -2 + -1x + 15x Combine like terms: -1x + 15x = 14x -14 + 9x = -2 + 14x Solving -14 + 9x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -14 + 9x + -14x = -2 + 14x + -14x Combine like terms: 9x + -14x = -5x -14 + -5x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -14 + -5x = -2 + 0 -14 + -5x = -2 Add '14' to each side of the equation. -14 + 14 + -5x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = -2 + 14 -5x = -2 + 14 Combine like terms: -2 + 14 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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