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Simplifying 3(-6x + -4) = 4(7x + 8) + -2x Reorder the terms: 3(-4 + -6x) = 4(7x + 8) + -2x (-4 * 3 + -6x * 3) = 4(7x + 8) + -2x (-12 + -18x) = 4(7x + 8) + -2x Reorder the terms: -12 + -18x = 4(8 + 7x) + -2x -12 + -18x = (8 * 4 + 7x * 4) + -2x -12 + -18x = (32 + 28x) + -2x Combine like terms: 28x + -2x = 26x -12 + -18x = 32 + 26x Solving -12 + -18x = 32 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -12 + -18x + -26x = 32 + 26x + -26x Combine like terms: -18x + -26x = -44x -12 + -44x = 32 + 26x + -26x Combine like terms: 26x + -26x = 0 -12 + -44x = 32 + 0 -12 + -44x = 32 Add '12' to each side of the equation. -12 + 12 + -44x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -44x = 32 + 12 -44x = 32 + 12 Combine like terms: 32 + 12 = 44 -44x = 44 Divide each side by '-44'. x = -1 Simplifying x = -1
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