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Simplifying 6(x + -4) = 4(2x + 5) Reorder the terms: 6(-4 + x) = 4(2x + 5) (-4 * 6 + x * 6) = 4(2x + 5) (-24 + 6x) = 4(2x + 5) Reorder the terms: -24 + 6x = 4(5 + 2x) -24 + 6x = (5 * 4 + 2x * 4) -24 + 6x = (20 + 8x) Solving -24 + 6x = 20 + 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 = 20 + 8x + -8x Combine like terms: 6x + -8x = -2x -24 + -2x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -2x = 20 + 0 -24 + -2x = 20 Add '24' to each side of the equation. -24 + 24 + -2x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 20 + 24 -2x = 20 + 24 Combine like terms: 20 + 24 = 44 -2x = 44 Divide each side by '-2'. x = -22 Simplifying x = -22
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