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