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Simplifying 3(2x + 7) = 7 + -5(4 + -3x) Reorder the terms: 3(7 + 2x) = 7 + -5(4 + -3x) (7 * 3 + 2x * 3) = 7 + -5(4 + -3x) (21 + 6x) = 7 + -5(4 + -3x) 21 + 6x = 7 + (4 * -5 + -3x * -5) 21 + 6x = 7 + (-20 + 15x) Combine like terms: 7 + -20 = -13 21 + 6x = -13 + 15x Solving 21 + 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. 21 + 6x + -15x = -13 + 15x + -15x Combine like terms: 6x + -15x = -9x 21 + -9x = -13 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -9x = -13 + 0 21 + -9x = -13 Add '-21' to each side of the equation. 21 + -21 + -9x = -13 + -21 Combine like terms: 21 + -21 = 0 0 + -9x = -13 + -21 -9x = -13 + -21 Combine like terms: -13 + -21 = -34 -9x = -34 Divide each side by '-9'. x = 3.777777778 Simplifying x = 3.777777778
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