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Simplifying 12(x + 8) + -6(x + 3) = 1 + x + x + -3 Reorder the terms: 12(8 + x) + -6(x + 3) = 1 + x + x + -3 (8 * 12 + x * 12) + -6(x + 3) = 1 + x + x + -3 (96 + 12x) + -6(x + 3) = 1 + x + x + -3 Reorder the terms: 96 + 12x + -6(3 + x) = 1 + x + x + -3 96 + 12x + (3 * -6 + x * -6) = 1 + x + x + -3 96 + 12x + (-18 + -6x) = 1 + x + x + -3 Reorder the terms: 96 + -18 + 12x + -6x = 1 + x + x + -3 Combine like terms: 96 + -18 = 78 78 + 12x + -6x = 1 + x + x + -3 Combine like terms: 12x + -6x = 6x 78 + 6x = 1 + x + x + -3 Reorder the terms: 78 + 6x = 1 + -3 + x + x Combine like terms: 1 + -3 = -2 78 + 6x = -2 + x + x Combine like terms: x + x = 2x 78 + 6x = -2 + 2x Solving 78 + 6x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 78 + 6x + -2x = -2 + 2x + -2x Combine like terms: 6x + -2x = 4x 78 + 4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 78 + 4x = -2 + 0 78 + 4x = -2 Add '-78' to each side of the equation. 78 + -78 + 4x = -2 + -78 Combine like terms: 78 + -78 = 0 0 + 4x = -2 + -78 4x = -2 + -78 Combine like terms: -2 + -78 = -80 4x = -80 Divide each side by '4'. x = -20 Simplifying x = -20
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