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Simplifying 5(x + 3) = 7(x + -4) Reorder the terms: 5(3 + x) = 7(x + -4) (3 * 5 + x * 5) = 7(x + -4) (15 + 5x) = 7(x + -4) Reorder the terms: 15 + 5x = 7(-4 + x) 15 + 5x = (-4 * 7 + x * 7) 15 + 5x = (-28 + 7x) Solving 15 + 5x = -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 + 5x + -7x = -28 + 7x + -7x Combine like terms: 5x + -7x = -2x 15 + -2x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -2x = -28 + 0 15 + -2x = -28 Add '-15' to each side of the equation. 15 + -15 + -2x = -28 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -28 + -15 -2x = -28 + -15 Combine like terms: -28 + -15 = -43 -2x = -43 Divide each side by '-2'. x = 21.5 Simplifying x = 21.5
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