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Simplifying 7 + 6x + -4 = 3(5x + 7) Reorder the terms: 7 + -4 + 6x = 3(5x + 7) Combine like terms: 7 + -4 = 3 3 + 6x = 3(5x + 7) Reorder the terms: 3 + 6x = 3(7 + 5x) 3 + 6x = (7 * 3 + 5x * 3) 3 + 6x = (21 + 15x) Solving 3 + 6x = 21 + 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. 3 + 6x + -15x = 21 + 15x + -15x Combine like terms: 6x + -15x = -9x 3 + -9x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 3 + -9x = 21 + 0 3 + -9x = 21 Add '-3' to each side of the equation. 3 + -3 + -9x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 21 + -3 -9x = 21 + -3 Combine like terms: 21 + -3 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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