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Simplifying 5(2x + -7) = 4(3x + 5) Reorder the terms: 5(-7 + 2x) = 4(3x + 5) (-7 * 5 + 2x * 5) = 4(3x + 5) (-35 + 10x) = 4(3x + 5) Reorder the terms: -35 + 10x = 4(5 + 3x) -35 + 10x = (5 * 4 + 3x * 4) -35 + 10x = (20 + 12x) Solving -35 + 10x = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -35 + 10x + -12x = 20 + 12x + -12x Combine like terms: 10x + -12x = -2x -35 + -2x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -2x = 20 + 0 -35 + -2x = 20 Add '35' to each side of the equation. -35 + 35 + -2x = 20 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = 20 + 35 -2x = 20 + 35 Combine like terms: 20 + 35 = 55 -2x = 55 Divide each side by '-2'. x = -27.5 Simplifying x = -27.5
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