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Simplifying -0.75(-12x + 8) + -8x + -14 = -2x + 0.8(-10 + 15x) + -1(2x + 8) Reorder the terms: -0.75(8 + -12x) + -8x + -14 = -2x + 0.8(-10 + 15x) + -1(2x + 8) (8 * -0.75 + -12x * -0.75) + -8x + -14 = -2x + 0.8(-10 + 15x) + -1(2x + 8) (-6 + 9x) + -8x + -14 = -2x + 0.8(-10 + 15x) + -1(2x + 8) Reorder the terms: -6 + -14 + 9x + -8x = -2x + 0.8(-10 + 15x) + -1(2x + 8) Combine like terms: -6 + -14 = -20 -20 + 9x + -8x = -2x + 0.8(-10 + 15x) + -1(2x + 8) Combine like terms: 9x + -8x = 1x -20 + 1x = -2x + 0.8(-10 + 15x) + -1(2x + 8) -20 + 1x = -2x + (-10 * 0.8 + 15x * 0.8) + -1(2x + 8) -20 + 1x = -2x + (-8 + 12x) + -1(2x + 8) Reorder the terms: -20 + 1x = -2x + -8 + 12x + -1(8 + 2x) -20 + 1x = -2x + -8 + 12x + (8 * -1 + 2x * -1) -20 + 1x = -2x + -8 + 12x + (-8 + -2x) Reorder the terms: -20 + 1x = -8 + -8 + -2x + 12x + -2x Combine like terms: -8 + -8 = -16 -20 + 1x = -16 + -2x + 12x + -2x Combine like terms: -2x + 12x = 10x -20 + 1x = -16 + 10x + -2x Combine like terms: 10x + -2x = 8x -20 + 1x = -16 + 8x Solving -20 + 1x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 1x + -8x = -16 + 8x + -8x Combine like terms: 1x + -8x = -7x -20 + -7x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -7x = -16 + 0 -20 + -7x = -16 Add '20' to each side of the equation. -20 + 20 + -7x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = -16 + 20 -7x = -16 + 20 Combine like terms: -16 + 20 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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