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Simplifying 3(5x + 2) + -1(-9x + -8) = 7(x + -4) + (x + 12) Reorder the terms: 3(2 + 5x) + -1(-9x + -8) = 7(x + -4) + (x + 12) (2 * 3 + 5x * 3) + -1(-9x + -8) = 7(x + -4) + (x + 12) (6 + 15x) + -1(-9x + -8) = 7(x + -4) + (x + 12) Reorder the terms: 6 + 15x + -1(-8 + -9x) = 7(x + -4) + (x + 12) 6 + 15x + (-8 * -1 + -9x * -1) = 7(x + -4) + (x + 12) 6 + 15x + (8 + 9x) = 7(x + -4) + (x + 12) Reorder the terms: 6 + 8 + 15x + 9x = 7(x + -4) + (x + 12) Combine like terms: 6 + 8 = 14 14 + 15x + 9x = 7(x + -4) + (x + 12) Combine like terms: 15x + 9x = 24x 14 + 24x = 7(x + -4) + (x + 12) Reorder the terms: 14 + 24x = 7(-4 + x) + (x + 12) 14 + 24x = (-4 * 7 + x * 7) + (x + 12) 14 + 24x = (-28 + 7x) + (x + 12) Reorder the terms: 14 + 24x = -28 + 7x + (12 + x) Remove parenthesis around (12 + x) 14 + 24x = -28 + 7x + 12 + x Reorder the terms: 14 + 24x = -28 + 12 + 7x + x Combine like terms: -28 + 12 = -16 14 + 24x = -16 + 7x + x Combine like terms: 7x + x = 8x 14 + 24x = -16 + 8x Solving 14 + 24x = -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. 14 + 24x + -8x = -16 + 8x + -8x Combine like terms: 24x + -8x = 16x 14 + 16x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 16x = -16 + 0 14 + 16x = -16 Add '-14' to each side of the equation. 14 + -14 + 16x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = -16 + -14 16x = -16 + -14 Combine like terms: -16 + -14 = -30 16x = -30 Divide each side by '16'. x = -1.875 Simplifying x = -1.875
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