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Simplifying 6(3x + 4) + -3(2x + x) = 2(x + 3) Reorder the terms: 6(4 + 3x) + -3(2x + x) = 2(x + 3) (4 * 6 + 3x * 6) + -3(2x + x) = 2(x + 3) (24 + 18x) + -3(2x + x) = 2(x + 3) Combine like terms: 2x + x = 3x 24 + 18x + -3(3x) = 2(x + 3) Remove parenthesis around (3x) 24 + 18x + -3 * 3x = 2(x + 3) Multiply -3 * 3 24 + 18x + -9x = 2(x + 3) Combine like terms: 18x + -9x = 9x 24 + 9x = 2(x + 3) Reorder the terms: 24 + 9x = 2(3 + x) 24 + 9x = (3 * 2 + x * 2) 24 + 9x = (6 + 2x) Solving 24 + 9x = 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 + 9x + -2x = 6 + 2x + -2x Combine like terms: 9x + -2x = 7x 24 + 7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 7x = 6 + 0 24 + 7x = 6 Add '-24' to each side of the equation. 24 + -24 + 7x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 6 + -24 7x = 6 + -24 Combine like terms: 6 + -24 = -18 7x = -18 Divide each side by '7'. x = -2.571428571 Simplifying x = -2.571428571
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