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