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Simplifying -7(4x + -5) = 6(2x + 8) Reorder the terms: -7(-5 + 4x) = 6(2x + 8) (-5 * -7 + 4x * -7) = 6(2x + 8) (35 + -28x) = 6(2x + 8) Reorder the terms: 35 + -28x = 6(8 + 2x) 35 + -28x = (8 * 6 + 2x * 6) 35 + -28x = (48 + 12x) Solving 35 + -28x = 48 + 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 + -28x + -12x = 48 + 12x + -12x Combine like terms: -28x + -12x = -40x 35 + -40x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -40x = 48 + 0 35 + -40x = 48 Add '-35' to each side of the equation. 35 + -35 + -40x = 48 + -35 Combine like terms: 35 + -35 = 0 0 + -40x = 48 + -35 -40x = 48 + -35 Combine like terms: 48 + -35 = 13 -40x = 13 Divide each side by '-40'. x = -0.325 Simplifying x = -0.325
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