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Simplifying 4(2x + -7) = 5(4x + 8) Reorder the terms: 4(-7 + 2x) = 5(4x + 8) (-7 * 4 + 2x * 4) = 5(4x + 8) (-28 + 8x) = 5(4x + 8) Reorder the terms: -28 + 8x = 5(8 + 4x) -28 + 8x = (8 * 5 + 4x * 5) -28 + 8x = (40 + 20x) Solving -28 + 8x = 40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -28 + 8x + -20x = 40 + 20x + -20x Combine like terms: 8x + -20x = -12x -28 + -12x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 -28 + -12x = 40 + 0 -28 + -12x = 40 Add '28' to each side of the equation. -28 + 28 + -12x = 40 + 28 Combine like terms: -28 + 28 = 0 0 + -12x = 40 + 28 -12x = 40 + 28 Combine like terms: 40 + 28 = 68 -12x = 68 Divide each side by '-12'. x = -5.666666667 Simplifying x = -5.666666667
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