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Simplifying 9x + -8(x + -2) + 14 = 15(x + -1) + -3x + 1 Reorder the terms: 9x + -8(-2 + x) + 14 = 15(x + -1) + -3x + 1 9x + (-2 * -8 + x * -8) + 14 = 15(x + -1) + -3x + 1 9x + (16 + -8x) + 14 = 15(x + -1) + -3x + 1 Reorder the terms: 16 + 14 + 9x + -8x = 15(x + -1) + -3x + 1 Combine like terms: 16 + 14 = 30 30 + 9x + -8x = 15(x + -1) + -3x + 1 Combine like terms: 9x + -8x = 1x 30 + 1x = 15(x + -1) + -3x + 1 Reorder the terms: 30 + 1x = 15(-1 + x) + -3x + 1 30 + 1x = (-1 * 15 + x * 15) + -3x + 1 30 + 1x = (-15 + 15x) + -3x + 1 Reorder the terms: 30 + 1x = -15 + 1 + 15x + -3x Combine like terms: -15 + 1 = -14 30 + 1x = -14 + 15x + -3x Combine like terms: 15x + -3x = 12x 30 + 1x = -14 + 12x Solving 30 + 1x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + 1x + -12x = -14 + 12x + -12x Combine like terms: 1x + -12x = -11x 30 + -11x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -11x = -14 + 0 30 + -11x = -14 Add '-30' to each side of the equation. 30 + -30 + -11x = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = -14 + -30 -11x = -14 + -30 Combine like terms: -14 + -30 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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