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Simplifying 5(4 + -1x) = 7(x + -6) (4 * 5 + -1x * 5) = 7(x + -6) (20 + -5x) = 7(x + -6) Reorder the terms: 20 + -5x = 7(-6 + x) 20 + -5x = (-6 * 7 + x * 7) 20 + -5x = (-42 + 7x) Solving 20 + -5x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + -5x + -7x = -42 + 7x + -7x Combine like terms: -5x + -7x = -12x 20 + -12x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -12x = -42 + 0 20 + -12x = -42 Add '-20' to each side of the equation. 20 + -20 + -12x = -42 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = -42 + -20 -12x = -42 + -20 Combine like terms: -42 + -20 = -62 -12x = -62 Divide each side by '-12'. x = 5.166666667 Simplifying x = 5.166666667
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