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Simplifying 6(x + -4) = 2(4x + -3) Reorder the terms: 6(-4 + x) = 2(4x + -3) (-4 * 6 + x * 6) = 2(4x + -3) (-24 + 6x) = 2(4x + -3) Reorder the terms: -24 + 6x = 2(-3 + 4x) -24 + 6x = (-3 * 2 + 4x * 2) -24 + 6x = (-6 + 8x) Solving -24 + 6x = -6 + 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 = -6 + 8x + -8x Combine like terms: 6x + -8x = -2x -24 + -2x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -2x = -6 + 0 -24 + -2x = -6 Add '24' to each side of the equation. -24 + 24 + -2x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -6 + 24 -2x = -6 + 24 Combine like terms: -6 + 24 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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