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Simplifying 3(x + 9) + 4x = 15 + -2x + 3 Reorder the terms: 3(9 + x) + 4x = 15 + -2x + 3 (9 * 3 + x * 3) + 4x = 15 + -2x + 3 (27 + 3x) + 4x = 15 + -2x + 3 Combine like terms: 3x + 4x = 7x 27 + 7x = 15 + -2x + 3 Reorder the terms: 27 + 7x = 15 + 3 + -2x Combine like terms: 15 + 3 = 18 27 + 7x = 18 + -2x Solving 27 + 7x = 18 + -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. 27 + 7x + 2x = 18 + -2x + 2x Combine like terms: 7x + 2x = 9x 27 + 9x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 9x = 18 + 0 27 + 9x = 18 Add '-27' to each side of the equation. 27 + -27 + 9x = 18 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = 18 + -27 9x = 18 + -27 Combine like terms: 18 + -27 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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