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Simplifying 8(x + -4) = 9(3x + -2) Reorder the terms: 8(-4 + x) = 9(3x + -2) (-4 * 8 + x * 8) = 9(3x + -2) (-32 + 8x) = 9(3x + -2) Reorder the terms: -32 + 8x = 9(-2 + 3x) -32 + 8x = (-2 * 9 + 3x * 9) -32 + 8x = (-18 + 27x) Solving -32 + 8x = -18 + 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. -32 + 8x + -27x = -18 + 27x + -27x Combine like terms: 8x + -27x = -19x -32 + -19x = -18 + 27x + -27x Combine like terms: 27x + -27x = 0 -32 + -19x = -18 + 0 -32 + -19x = -18 Add '32' to each side of the equation. -32 + 32 + -19x = -18 + 32 Combine like terms: -32 + 32 = 0 0 + -19x = -18 + 32 -19x = -18 + 32 Combine like terms: -18 + 32 = 14 -19x = 14 Divide each side by '-19'. x = -0.7368421053 Simplifying x = -0.7368421053
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