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Simplifying 3(x + -4) + 5(x + 6) = 9(3x + -2) + -2 Reorder the terms: 3(-4 + x) + 5(x + 6) = 9(3x + -2) + -2 (-4 * 3 + x * 3) + 5(x + 6) = 9(3x + -2) + -2 (-12 + 3x) + 5(x + 6) = 9(3x + -2) + -2 Reorder the terms: -12 + 3x + 5(6 + x) = 9(3x + -2) + -2 -12 + 3x + (6 * 5 + x * 5) = 9(3x + -2) + -2 -12 + 3x + (30 + 5x) = 9(3x + -2) + -2 Reorder the terms: -12 + 30 + 3x + 5x = 9(3x + -2) + -2 Combine like terms: -12 + 30 = 18 18 + 3x + 5x = 9(3x + -2) + -2 Combine like terms: 3x + 5x = 8x 18 + 8x = 9(3x + -2) + -2 Reorder the terms: 18 + 8x = 9(-2 + 3x) + -2 18 + 8x = (-2 * 9 + 3x * 9) + -2 18 + 8x = (-18 + 27x) + -2 Reorder the terms: 18 + 8x = -18 + -2 + 27x Combine like terms: -18 + -2 = -20 18 + 8x = -20 + 27x Solving 18 + 8x = -20 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 18 + 8x + -27x = -20 + 27x + -27x Combine like terms: 8x + -27x = -19x 18 + -19x = -20 + 27x + -27x Combine like terms: 27x + -27x = 0 18 + -19x = -20 + 0 18 + -19x = -20 Add '-18' to each side of the equation. 18 + -18 + -19x = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -19x = -20 + -18 -19x = -20 + -18 Combine like terms: -20 + -18 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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