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Simplifying 4(2x + -8) = 3(2x + -6) Reorder the terms: 4(-8 + 2x) = 3(2x + -6) (-8 * 4 + 2x * 4) = 3(2x + -6) (-32 + 8x) = 3(2x + -6) Reorder the terms: -32 + 8x = 3(-6 + 2x) -32 + 8x = (-6 * 3 + 2x * 3) -32 + 8x = (-18 + 6x) Solving -32 + 8x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + 8x + -6x = -18 + 6x + -6x Combine like terms: 8x + -6x = 2x -32 + 2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 2x = -18 + 0 -32 + 2x = -18 Add '32' to each side of the equation. -32 + 32 + 2x = -18 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -18 + 32 2x = -18 + 32 Combine like terms: -18 + 32 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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