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