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Simplifying 3(3x + 5) = 2(2x + 3) + -19 Reorder the terms: 3(5 + 3x) = 2(2x + 3) + -19 (5 * 3 + 3x * 3) = 2(2x + 3) + -19 (15 + 9x) = 2(2x + 3) + -19 Reorder the terms: 15 + 9x = 2(3 + 2x) + -19 15 + 9x = (3 * 2 + 2x * 2) + -19 15 + 9x = (6 + 4x) + -19 Reorder the terms: 15 + 9x = 6 + -19 + 4x Combine like terms: 6 + -19 = -13 15 + 9x = -13 + 4x Solving 15 + 9x = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 9x + -4x = -13 + 4x + -4x Combine like terms: 9x + -4x = 5x 15 + 5x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 5x = -13 + 0 15 + 5x = -13 Add '-15' to each side of the equation. 15 + -15 + 5x = -13 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = -13 + -15 5x = -13 + -15 Combine like terms: -13 + -15 = -28 5x = -28 Divide each side by '5'. x = -5.6 Simplifying x = -5.6
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