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Simplifying 6(x + -4) = 8(x + -2) Reorder the terms: 6(-4 + x) = 8(x + -2) (-4 * 6 + x * 6) = 8(x + -2) (-24 + 6x) = 8(x + -2) Reorder the terms: -24 + 6x = 8(-2 + x) -24 + 6x = (-2 * 8 + x * 8) -24 + 6x = (-16 + 8x) Solving -24 + 6x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 6x + -8x = -16 + 8x + -8x Combine like terms: 6x + -8x = -2x -24 + -2x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -2x = -16 + 0 -24 + -2x = -16 Add '24' to each side of the equation. -24 + 24 + -2x = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -16 + 24 -2x = -16 + 24 Combine like terms: -16 + 24 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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