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Simplifying 6(3 + -8x) = -37 + 7x (3 * 6 + -8x * 6) = -37 + 7x (18 + -48x) = -37 + 7x Solving 18 + -48x = -37 + 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 + -48x + -7x = -37 + 7x + -7x Combine like terms: -48x + -7x = -55x 18 + -55x = -37 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -55x = -37 + 0 18 + -55x = -37 Add '-18' to each side of the equation. 18 + -18 + -55x = -37 + -18 Combine like terms: 18 + -18 = 0 0 + -55x = -37 + -18 -55x = -37 + -18 Combine like terms: -37 + -18 = -55 -55x = -55 Divide each side by '-55'. x = 1 Simplifying x = 1
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