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Simplifying 3(x + 6) = 2(x + -3) + 4x Reorder the terms: 3(6 + x) = 2(x + -3) + 4x (6 * 3 + x * 3) = 2(x + -3) + 4x (18 + 3x) = 2(x + -3) + 4x Reorder the terms: 18 + 3x = 2(-3 + x) + 4x 18 + 3x = (-3 * 2 + x * 2) + 4x 18 + 3x = (-6 + 2x) + 4x Combine like terms: 2x + 4x = 6x 18 + 3x = -6 + 6x Solving 18 + 3x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + 3x + -6x = -6 + 6x + -6x Combine like terms: 3x + -6x = -3x 18 + -3x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -3x = -6 + 0 18 + -3x = -6 Add '-18' to each side of the equation. 18 + -18 + -3x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = -6 + -18 -3x = -6 + -18 Combine like terms: -6 + -18 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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