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