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Simplifying 5(3x + 4) = 9 + (6x + -7) Reorder the terms: 5(4 + 3x) = 9 + (6x + -7) (4 * 5 + 3x * 5) = 9 + (6x + -7) (20 + 15x) = 9 + (6x + -7) Reorder the terms: 20 + 15x = 9 + (-7 + 6x) Remove parenthesis around (-7 + 6x) 20 + 15x = 9 + -7 + 6x Combine like terms: 9 + -7 = 2 20 + 15x = 2 + 6x Solving 20 + 15x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 15x + -6x = 2 + 6x + -6x Combine like terms: 15x + -6x = 9x 20 + 9x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 9x = 2 + 0 20 + 9x = 2 Add '-20' to each side of the equation. 20 + -20 + 9x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 2 + -20 9x = 2 + -20 Combine like terms: 2 + -20 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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