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Simplifying 6(-3 + 6x) = 40 + 7x (-3 * 6 + 6x * 6) = 40 + 7x (-18 + 36x) = 40 + 7x Solving -18 + 36x = 40 + 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. -18 + 36x + -7x = 40 + 7x + -7x Combine like terms: 36x + -7x = 29x -18 + 29x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 29x = 40 + 0 -18 + 29x = 40 Add '18' to each side of the equation. -18 + 18 + 29x = 40 + 18 Combine like terms: -18 + 18 = 0 0 + 29x = 40 + 18 29x = 40 + 18 Combine like terms: 40 + 18 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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