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Simplifying 3(2x + 7) + -4 = 7 + -5(4 + -3x) Reorder the terms: 3(7 + 2x) + -4 = 7 + -5(4 + -3x) (7 * 3 + 2x * 3) + -4 = 7 + -5(4 + -3x) (21 + 6x) + -4 = 7 + -5(4 + -3x) Reorder the terms: 21 + -4 + 6x = 7 + -5(4 + -3x) Combine like terms: 21 + -4 = 17 17 + 6x = 7 + -5(4 + -3x) 17 + 6x = 7 + (4 * -5 + -3x * -5) 17 + 6x = 7 + (-20 + 15x) Combine like terms: 7 + -20 = -13 17 + 6x = -13 + 15x Solving 17 + 6x = -13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 17 + 6x + -15x = -13 + 15x + -15x Combine like terms: 6x + -15x = -9x 17 + -9x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 17 + -9x = -13 + 0 17 + -9x = -13 Add '-17' to each side of the equation. 17 + -17 + -9x = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = -13 + -17 -9x = -13 + -17 Combine like terms: -13 + -17 = -30 -9x = -30 Divide each side by '-9'. x = 3.333333333 Simplifying x = 3.333333333
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