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Simplifying 6(x + -4) = 3(x + -3) Reorder the terms: 6(-4 + x) = 3(x + -3) (-4 * 6 + x * 6) = 3(x + -3) (-24 + 6x) = 3(x + -3) Reorder the terms: -24 + 6x = 3(-3 + x) -24 + 6x = (-3 * 3 + x * 3) -24 + 6x = (-9 + 3x) Solving -24 + 6x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x -24 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 3x = -9 + 0 -24 + 3x = -9 Add '24' to each side of the equation. -24 + 24 + 3x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -9 + 24 3x = -9 + 24 Combine like terms: -9 + 24 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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