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Simplifying 7(5 + -1x) = -6(4 + 3x) (5 * 7 + -1x * 7) = -6(4 + 3x) (35 + -7x) = -6(4 + 3x) 35 + -7x = (4 * -6 + 3x * -6) 35 + -7x = (-24 + -18x) Solving 35 + -7x = -24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 35 + -7x + 18x = -24 + -18x + 18x Combine like terms: -7x + 18x = 11x 35 + 11x = -24 + -18x + 18x Combine like terms: -18x + 18x = 0 35 + 11x = -24 + 0 35 + 11x = -24 Add '-35' to each side of the equation. 35 + -35 + 11x = -24 + -35 Combine like terms: 35 + -35 = 0 0 + 11x = -24 + -35 11x = -24 + -35 Combine like terms: -24 + -35 = -59 11x = -59 Divide each side by '11'. x = -5.363636364 Simplifying x = -5.363636364
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