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Simplifying 6(3x + 3) + -4(x + 4) = 5(x + 2) Reorder the terms: 6(3 + 3x) + -4(x + 4) = 5(x + 2) (3 * 6 + 3x * 6) + -4(x + 4) = 5(x + 2) (18 + 18x) + -4(x + 4) = 5(x + 2) Reorder the terms: 18 + 18x + -4(4 + x) = 5(x + 2) 18 + 18x + (4 * -4 + x * -4) = 5(x + 2) 18 + 18x + (-16 + -4x) = 5(x + 2) Reorder the terms: 18 + -16 + 18x + -4x = 5(x + 2) Combine like terms: 18 + -16 = 2 2 + 18x + -4x = 5(x + 2) Combine like terms: 18x + -4x = 14x 2 + 14x = 5(x + 2) Reorder the terms: 2 + 14x = 5(2 + x) 2 + 14x = (2 * 5 + x * 5) 2 + 14x = (10 + 5x) Solving 2 + 14x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 14x + -5x = 10 + 5x + -5x Combine like terms: 14x + -5x = 9x 2 + 9x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 9x = 10 + 0 2 + 9x = 10 Add '-2' to each side of the equation. 2 + -2 + 9x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 10 + -2 9x = 10 + -2 Combine like terms: 10 + -2 = 8 9x = 8 Divide each side by '9'. x = 0.8888888889 Simplifying x = 0.8888888889
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