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Simplifying 6(7 + -3x) = 4(5 + -6x) (7 * 6 + -3x * 6) = 4(5 + -6x) (42 + -18x) = 4(5 + -6x) 42 + -18x = (5 * 4 + -6x * 4) 42 + -18x = (20 + -24x) Solving 42 + -18x = 20 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 42 + -18x + 24x = 20 + -24x + 24x Combine like terms: -18x + 24x = 6x 42 + 6x = 20 + -24x + 24x Combine like terms: -24x + 24x = 0 42 + 6x = 20 + 0 42 + 6x = 20 Add '-42' to each side of the equation. 42 + -42 + 6x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 20 + -42 6x = 20 + -42 Combine like terms: 20 + -42 = -22 6x = -22 Divide each side by '6'. x = -3.666666667 Simplifying x = -3.666666667
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