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Simplifying 3x + -1(5x + -12) = 8x + -1(4x + -9) Reorder the terms: 3x + -1(-12 + 5x) = 8x + -1(4x + -9) 3x + (-12 * -1 + 5x * -1) = 8x + -1(4x + -9) 3x + (12 + -5x) = 8x + -1(4x + -9) Reorder the terms: 12 + 3x + -5x = 8x + -1(4x + -9) Combine like terms: 3x + -5x = -2x 12 + -2x = 8x + -1(4x + -9) Reorder the terms: 12 + -2x = 8x + -1(-9 + 4x) 12 + -2x = 8x + (-9 * -1 + 4x * -1) 12 + -2x = 8x + (9 + -4x) Reorder the terms: 12 + -2x = 9 + 8x + -4x Combine like terms: 8x + -4x = 4x 12 + -2x = 9 + 4x Solving 12 + -2x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -2x + -4x = 9 + 4x + -4x Combine like terms: -2x + -4x = -6x 12 + -6x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -6x = 9 + 0 12 + -6x = 9 Add '-12' to each side of the equation. 12 + -12 + -6x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 9 + -12 -6x = 9 + -12 Combine like terms: 9 + -12 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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