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Simplifying 3(3x + 4) + -5 = -9x + 13 Reorder the terms: 3(4 + 3x) + -5 = -9x + 13 (4 * 3 + 3x * 3) + -5 = -9x + 13 (12 + 9x) + -5 = -9x + 13 Reorder the terms: 12 + -5 + 9x = -9x + 13 Combine like terms: 12 + -5 = 7 7 + 9x = -9x + 13 Reorder the terms: 7 + 9x = 13 + -9x Solving 7 + 9x = 13 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + 9x + 9x = 13 + -9x + 9x Combine like terms: 9x + 9x = 18x 7 + 18x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 18x = 13 + 0 7 + 18x = 13 Add '-7' to each side of the equation. 7 + -7 + 18x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = 13 + -7 18x = 13 + -7 Combine like terms: 13 + -7 = 6 18x = 6 Divide each side by '18'. x = 0.3333333333 Simplifying x = 0.3333333333
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