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Simplifying 4(5x + -7) = 8(2x + 1) Reorder the terms: 4(-7 + 5x) = 8(2x + 1) (-7 * 4 + 5x * 4) = 8(2x + 1) (-28 + 20x) = 8(2x + 1) Reorder the terms: -28 + 20x = 8(1 + 2x) -28 + 20x = (1 * 8 + 2x * 8) -28 + 20x = (8 + 16x) Solving -28 + 20x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -28 + 20x + -16x = 8 + 16x + -16x Combine like terms: 20x + -16x = 4x -28 + 4x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -28 + 4x = 8 + 0 -28 + 4x = 8 Add '28' to each side of the equation. -28 + 28 + 4x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 8 + 28 4x = 8 + 28 Combine like terms: 8 + 28 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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