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Simplifying 2(x + -3) = 3(x + 4) Reorder the terms: 2(-3 + x) = 3(x + 4) (-3 * 2 + x * 2) = 3(x + 4) (-6 + 2x) = 3(x + 4) Reorder the terms: -6 + 2x = 3(4 + x) -6 + 2x = (4 * 3 + x * 3) -6 + 2x = (12 + 3x) Solving -6 + 2x = 12 + 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. -6 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = 12 + 0 -6 + -1x = 12 Add '6' to each side of the equation. -6 + 6 + -1x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 12 + 6 -1x = 12 + 6 Combine like terms: 12 + 6 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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