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Simplifying 4(7x + -5) = 6(4 + -2x) Reorder the terms: 4(-5 + 7x) = 6(4 + -2x) (-5 * 4 + 7x * 4) = 6(4 + -2x) (-20 + 28x) = 6(4 + -2x) -20 + 28x = (4 * 6 + -2x * 6) -20 + 28x = (24 + -12x) Solving -20 + 28x = 24 + -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. -20 + 28x + 12x = 24 + -12x + 12x Combine like terms: 28x + 12x = 40x -20 + 40x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + 40x = 24 + 0 -20 + 40x = 24 Add '20' to each side of the equation. -20 + 20 + 40x = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 40x = 24 + 20 40x = 24 + 20 Combine like terms: 24 + 20 = 44 40x = 44 Divide each side by '40'. x = 1.1 Simplifying x = 1.1
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