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Simplifying 4(1 + 8x) = 38 + -2x (1 * 4 + 8x * 4) = 38 + -2x (4 + 32x) = 38 + -2x Solving 4 + 32x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 32x + 2x = 38 + -2x + 2x Combine like terms: 32x + 2x = 34x 4 + 34x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 34x = 38 + 0 4 + 34x = 38 Add '-4' to each side of the equation. 4 + -4 + 34x = 38 + -4 Combine like terms: 4 + -4 = 0 0 + 34x = 38 + -4 34x = 38 + -4 Combine like terms: 38 + -4 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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