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Simplifying 4(x + -8) = -2(x + 2) Reorder the terms: 4(-8 + x) = -2(x + 2) (-8 * 4 + x * 4) = -2(x + 2) (-32 + 4x) = -2(x + 2) Reorder the terms: -32 + 4x = -2(2 + x) -32 + 4x = (2 * -2 + x * -2) -32 + 4x = (-4 + -2x) Solving -32 + 4x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -32 + 4x + 2x = -4 + -2x + 2x Combine like terms: 4x + 2x = 6x -32 + 6x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 6x = -4 + 0 -32 + 6x = -4 Add '32' to each side of the equation. -32 + 32 + 6x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = -4 + 32 6x = -4 + 32 Combine like terms: -4 + 32 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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