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Simplifying 7(x + -4) = 5(1 + 8x) Reorder the terms: 7(-4 + x) = 5(1 + 8x) (-4 * 7 + x * 7) = 5(1 + 8x) (-28 + 7x) = 5(1 + 8x) -28 + 7x = (1 * 5 + 8x * 5) -28 + 7x = (5 + 40x) Solving -28 + 7x = 5 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -28 + 7x + -40x = 5 + 40x + -40x Combine like terms: 7x + -40x = -33x -28 + -33x = 5 + 40x + -40x Combine like terms: 40x + -40x = 0 -28 + -33x = 5 + 0 -28 + -33x = 5 Add '28' to each side of the equation. -28 + 28 + -33x = 5 + 28 Combine like terms: -28 + 28 = 0 0 + -33x = 5 + 28 -33x = 5 + 28 Combine like terms: 5 + 28 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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