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Simplifying 7(6 + -2x) = 3(8 + -6x) (6 * 7 + -2x * 7) = 3(8 + -6x) (42 + -14x) = 3(8 + -6x) 42 + -14x = (8 * 3 + -6x * 3) 42 + -14x = (24 + -18x) Solving 42 + -14x = 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. 42 + -14x + 18x = 24 + -18x + 18x Combine like terms: -14x + 18x = 4x 42 + 4x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 42 + 4x = 24 + 0 42 + 4x = 24 Add '-42' to each side of the equation. 42 + -42 + 4x = 24 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 24 + -42 4x = 24 + -42 Combine like terms: 24 + -42 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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