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Simplifying 7(4x + -4) = 5(x + 7) Reorder the terms: 7(-4 + 4x) = 5(x + 7) (-4 * 7 + 4x * 7) = 5(x + 7) (-28 + 28x) = 5(x + 7) Reorder the terms: -28 + 28x = 5(7 + x) -28 + 28x = (7 * 5 + x * 5) -28 + 28x = (35 + 5x) Solving -28 + 28x = 35 + 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. -28 + 28x + -5x = 35 + 5x + -5x Combine like terms: 28x + -5x = 23x -28 + 23x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 23x = 35 + 0 -28 + 23x = 35 Add '28' to each side of the equation. -28 + 28 + 23x = 35 + 28 Combine like terms: -28 + 28 = 0 0 + 23x = 35 + 28 23x = 35 + 28 Combine like terms: 35 + 28 = 63 23x = 63 Divide each side by '23'. x = 2.739130435 Simplifying x = 2.739130435
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