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Simplifying 3(x + 4) + 2x + 1 = 5(3x + -6) + 9x + -17 Reorder the terms: 3(4 + x) + 2x + 1 = 5(3x + -6) + 9x + -17 (4 * 3 + x * 3) + 2x + 1 = 5(3x + -6) + 9x + -17 (12 + 3x) + 2x + 1 = 5(3x + -6) + 9x + -17 Reorder the terms: 12 + 1 + 3x + 2x = 5(3x + -6) + 9x + -17 Combine like terms: 12 + 1 = 13 13 + 3x + 2x = 5(3x + -6) + 9x + -17 Combine like terms: 3x + 2x = 5x 13 + 5x = 5(3x + -6) + 9x + -17 Reorder the terms: 13 + 5x = 5(-6 + 3x) + 9x + -17 13 + 5x = (-6 * 5 + 3x * 5) + 9x + -17 13 + 5x = (-30 + 15x) + 9x + -17 Reorder the terms: 13 + 5x = -30 + -17 + 15x + 9x Combine like terms: -30 + -17 = -47 13 + 5x = -47 + 15x + 9x Combine like terms: 15x + 9x = 24x 13 + 5x = -47 + 24x Solving 13 + 5x = -47 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 13 + 5x + -24x = -47 + 24x + -24x Combine like terms: 5x + -24x = -19x 13 + -19x = -47 + 24x + -24x Combine like terms: 24x + -24x = 0 13 + -19x = -47 + 0 13 + -19x = -47 Add '-13' to each side of the equation. 13 + -13 + -19x = -47 + -13 Combine like terms: 13 + -13 = 0 0 + -19x = -47 + -13 -19x = -47 + -13 Combine like terms: -47 + -13 = -60 -19x = -60 Divide each side by '-19'. x = 3.157894737 Simplifying x = 3.157894737
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