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Simplifying 4(x + -6) = 3(x + 2) Reorder the terms: 4(-6 + x) = 3(x + 2) (-6 * 4 + x * 4) = 3(x + 2) (-24 + 4x) = 3(x + 2) Reorder the terms: -24 + 4x = 3(2 + x) -24 + 4x = (2 * 3 + x * 3) -24 + 4x = (6 + 3x) Solving -24 + 4x = 6 + 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 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x -24 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 1x = 6 + 0 -24 + 1x = 6 Add '24' to each side of the equation. -24 + 24 + 1x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 6 + 24 1x = 6 + 24 Combine like terms: 6 + 24 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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