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Simplifying 3(x + 9) + -2x + 7 = 3(5x + -8) + -13x + -7 Reorder the terms: 3(9 + x) + -2x + 7 = 3(5x + -8) + -13x + -7 (9 * 3 + x * 3) + -2x + 7 = 3(5x + -8) + -13x + -7 (27 + 3x) + -2x + 7 = 3(5x + -8) + -13x + -7 Reorder the terms: 27 + 7 + 3x + -2x = 3(5x + -8) + -13x + -7 Combine like terms: 27 + 7 = 34 34 + 3x + -2x = 3(5x + -8) + -13x + -7 Combine like terms: 3x + -2x = 1x 34 + 1x = 3(5x + -8) + -13x + -7 Reorder the terms: 34 + 1x = 3(-8 + 5x) + -13x + -7 34 + 1x = (-8 * 3 + 5x * 3) + -13x + -7 34 + 1x = (-24 + 15x) + -13x + -7 Reorder the terms: 34 + 1x = -24 + -7 + 15x + -13x Combine like terms: -24 + -7 = -31 34 + 1x = -31 + 15x + -13x Combine like terms: 15x + -13x = 2x 34 + 1x = -31 + 2x Solving 34 + 1x = -31 + 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. 34 + 1x + -2x = -31 + 2x + -2x Combine like terms: 1x + -2x = -1x 34 + -1x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + -1x = -31 + 0 34 + -1x = -31 Add '-34' to each side of the equation. 34 + -34 + -1x = -31 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = -31 + -34 -1x = -31 + -34 Combine like terms: -31 + -34 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65
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