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Simplifying 3(3x + 5) = 2(x + 3) + -19 Reorder the terms: 3(5 + 3x) = 2(x + 3) + -19 (5 * 3 + 3x * 3) = 2(x + 3) + -19 (15 + 9x) = 2(x + 3) + -19 Reorder the terms: 15 + 9x = 2(3 + x) + -19 15 + 9x = (3 * 2 + x * 2) + -19 15 + 9x = (6 + 2x) + -19 Reorder the terms: 15 + 9x = 6 + -19 + 2x Combine like terms: 6 + -19 = -13 15 + 9x = -13 + 2x Solving 15 + 9x = -13 + 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. 15 + 9x + -2x = -13 + 2x + -2x Combine like terms: 9x + -2x = 7x 15 + 7x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 7x = -13 + 0 15 + 7x = -13 Add '-15' to each side of the equation. 15 + -15 + 7x = -13 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = -13 + -15 7x = -13 + -15 Combine like terms: -13 + -15 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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