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Simplifying 8(2x + -4) = 2(2 + 3x) Reorder the terms: 8(-4 + 2x) = 2(2 + 3x) (-4 * 8 + 2x * 8) = 2(2 + 3x) (-32 + 16x) = 2(2 + 3x) -32 + 16x = (2 * 2 + 3x * 2) -32 + 16x = (4 + 6x) Solving -32 + 16x = 4 + 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 + 16x + -6x = 4 + 6x + -6x Combine like terms: 16x + -6x = 10x -32 + 10x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 10x = 4 + 0 -32 + 10x = 4 Add '32' to each side of the equation. -32 + 32 + 10x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = 4 + 32 10x = 4 + 32 Combine like terms: 4 + 32 = 36 10x = 36 Divide each side by '10'. x = 3.6 Simplifying x = 3.6
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