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Simplifying 3x + -4(x + 6) = x + 12 Reorder the terms: 3x + -4(6 + x) = x + 12 3x + (6 * -4 + x * -4) = x + 12 3x + (-24 + -4x) = x + 12 Reorder the terms: -24 + 3x + -4x = x + 12 Combine like terms: 3x + -4x = -1x -24 + -1x = x + 12 Reorder the terms: -24 + -1x = 12 + x Solving -24 + -1x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + -1x + -1x = 12 + x + -1x Combine like terms: -1x + -1x = -2x -24 + -2x = 12 + x + -1x Combine like terms: x + -1x = 0 -24 + -2x = 12 + 0 -24 + -2x = 12 Add '24' to each side of the equation. -24 + 24 + -2x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 12 + 24 -2x = 12 + 24 Combine like terms: 12 + 24 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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