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Simplifying 1 + 6(1 + -8x) = -4x + -37 1 + (1 * 6 + -8x * 6) = -4x + -37 1 + (6 + -48x) = -4x + -37 Combine like terms: 1 + 6 = 7 7 + -48x = -4x + -37 Reorder the terms: 7 + -48x = -37 + -4x Solving 7 + -48x = -37 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -48x + 4x = -37 + -4x + 4x Combine like terms: -48x + 4x = -44x 7 + -44x = -37 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + -44x = -37 + 0 7 + -44x = -37 Add '-7' to each side of the equation. 7 + -7 + -44x = -37 + -7 Combine like terms: 7 + -7 = 0 0 + -44x = -37 + -7 -44x = -37 + -7 Combine like terms: -37 + -7 = -44 -44x = -44 Divide each side by '-44'. x = 1 Simplifying x = 1
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