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Simplifying 6(x + -4) = -2(x + 1) Reorder the terms: 6(-4 + x) = -2(x + 1) (-4 * 6 + x * 6) = -2(x + 1) (-24 + 6x) = -2(x + 1) Reorder the terms: -24 + 6x = -2(1 + x) -24 + 6x = (1 * -2 + x * -2) -24 + 6x = (-2 + -2x) Solving -24 + 6x = -2 + -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. -24 + 6x + 2x = -2 + -2x + 2x Combine like terms: 6x + 2x = 8x -24 + 8x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 8x = -2 + 0 -24 + 8x = -2 Add '24' to each side of the equation. -24 + 24 + 8x = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = -2 + 24 8x = -2 + 24 Combine like terms: -2 + 24 = 22 8x = 22 Divide each side by '8'. x = 2.75 Simplifying x = 2.75
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