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Simplifying 38 + 2x = -8(1 + -6x) 38 + 2x = (1 * -8 + -6x * -8) 38 + 2x = (-8 + 48x) Solving 38 + 2x = -8 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 38 + 2x + -48x = -8 + 48x + -48x Combine like terms: 2x + -48x = -46x 38 + -46x = -8 + 48x + -48x Combine like terms: 48x + -48x = 0 38 + -46x = -8 + 0 38 + -46x = -8 Add '-38' to each side of the equation. 38 + -38 + -46x = -8 + -38 Combine like terms: 38 + -38 = 0 0 + -46x = -8 + -38 -46x = -8 + -38 Combine like terms: -8 + -38 = -46 -46x = -46 Divide each side by '-46'. x = 1 Simplifying x = 1
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