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Simplifying 6(x + -4) = 4(16 + -4x) Reorder the terms: 6(-4 + x) = 4(16 + -4x) (-4 * 6 + x * 6) = 4(16 + -4x) (-24 + 6x) = 4(16 + -4x) -24 + 6x = (16 * 4 + -4x * 4) -24 + 6x = (64 + -16x) Solving -24 + 6x = 64 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -24 + 6x + 16x = 64 + -16x + 16x Combine like terms: 6x + 16x = 22x -24 + 22x = 64 + -16x + 16x Combine like terms: -16x + 16x = 0 -24 + 22x = 64 + 0 -24 + 22x = 64 Add '24' to each side of the equation. -24 + 24 + 22x = 64 + 24 Combine like terms: -24 + 24 = 0 0 + 22x = 64 + 24 22x = 64 + 24 Combine like terms: 64 + 24 = 88 22x = 88 Divide each side by '22'. x = 4 Simplifying x = 4
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