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Simplifying 5(x + -4) = 7(x + 4) Reorder the terms: 5(-4 + x) = 7(x + 4) (-4 * 5 + x * 5) = 7(x + 4) (-20 + 5x) = 7(x + 4) Reorder the terms: -20 + 5x = 7(4 + x) -20 + 5x = (4 * 7 + x * 7) -20 + 5x = (28 + 7x) Solving -20 + 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. -20 + 5x + -7x = 28 + 7x + -7x Combine like terms: 5x + -7x = -2x -20 + -2x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -2x = 28 + 0 -20 + -2x = 28 Add '20' to each side of the equation. -20 + 20 + -2x = 28 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 28 + 20 -2x = 28 + 20 Combine like terms: 28 + 20 = 48 -2x = 48 Divide each side by '-2'. x = -24 Simplifying x = -24
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