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Simplifying 3(5 + -2x) = 7(x + 4) (5 * 3 + -2x * 3) = 7(x + 4) (15 + -6x) = 7(x + 4) Reorder the terms: 15 + -6x = 7(4 + x) 15 + -6x = (4 * 7 + x * 7) 15 + -6x = (28 + 7x) Solving 15 + -6x = 28 + 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. 15 + -6x + -7x = 28 + 7x + -7x Combine like terms: -6x + -7x = -13x 15 + -13x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -13x = 28 + 0 15 + -13x = 28 Add '-15' to each side of the equation. 15 + -15 + -13x = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = 28 + -15 -13x = 28 + -15 Combine like terms: 28 + -15 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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