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Simplifying 5(3x + 4) = 15 + -7x Reorder the terms: 5(4 + 3x) = 15 + -7x (4 * 5 + 3x * 5) = 15 + -7x (20 + 15x) = 15 + -7x Solving 20 + 15x = 15 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 20 + 15x + 7x = 15 + -7x + 7x Combine like terms: 15x + 7x = 22x 20 + 22x = 15 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 22x = 15 + 0 20 + 22x = 15 Add '-20' to each side of the equation. 20 + -20 + 22x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 22x = 15 + -20 22x = 15 + -20 Combine like terms: 15 + -20 = -5 22x = -5 Divide each side by '22'. x = -0.2272727273 Simplifying x = -0.2272727273
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