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Simplifying 12x + -3(2x + 10) = 5 + 2(4x + -9) Reorder the terms: 12x + -3(10 + 2x) = 5 + 2(4x + -9) 12x + (10 * -3 + 2x * -3) = 5 + 2(4x + -9) 12x + (-30 + -6x) = 5 + 2(4x + -9) Reorder the terms: -30 + 12x + -6x = 5 + 2(4x + -9) Combine like terms: 12x + -6x = 6x -30 + 6x = 5 + 2(4x + -9) Reorder the terms: -30 + 6x = 5 + 2(-9 + 4x) -30 + 6x = 5 + (-9 * 2 + 4x * 2) -30 + 6x = 5 + (-18 + 8x) Combine like terms: 5 + -18 = -13 -30 + 6x = -13 + 8x Solving -30 + 6x = -13 + 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. -30 + 6x + -8x = -13 + 8x + -8x Combine like terms: 6x + -8x = -2x -30 + -2x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -2x = -13 + 0 -30 + -2x = -13 Add '30' to each side of the equation. -30 + 30 + -2x = -13 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = -13 + 30 -2x = -13 + 30 Combine like terms: -13 + 30 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5
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