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Simplifying 5(4x + -7) = 5(-3 + 8x) Reorder the terms: 5(-7 + 4x) = 5(-3 + 8x) (-7 * 5 + 4x * 5) = 5(-3 + 8x) (-35 + 20x) = 5(-3 + 8x) -35 + 20x = (-3 * 5 + 8x * 5) -35 + 20x = (-15 + 40x) Solving -35 + 20x = -15 + 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. -35 + 20x + -40x = -15 + 40x + -40x Combine like terms: 20x + -40x = -20x -35 + -20x = -15 + 40x + -40x Combine like terms: 40x + -40x = 0 -35 + -20x = -15 + 0 -35 + -20x = -15 Add '35' to each side of the equation. -35 + 35 + -20x = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -20x = -15 + 35 -20x = -15 + 35 Combine like terms: -15 + 35 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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