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Simplifying -8(1 + 6x) + 2x = 2(x + 4) (1 * -8 + 6x * -8) + 2x = 2(x + 4) (-8 + -48x) + 2x = 2(x + 4) Combine like terms: -48x + 2x = -46x -8 + -46x = 2(x + 4) Reorder the terms: -8 + -46x = 2(4 + x) -8 + -46x = (4 * 2 + x * 2) -8 + -46x = (8 + 2x) Solving -8 + -46x = 8 + 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. -8 + -46x + -2x = 8 + 2x + -2x Combine like terms: -46x + -2x = -48x -8 + -48x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -48x = 8 + 0 -8 + -48x = 8 Add '8' to each side of the equation. -8 + 8 + -48x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -48x = 8 + 8 -48x = 8 + 8 Combine like terms: 8 + 8 = 16 -48x = 16 Divide each side by '-48'. x = -0.3333333333 Simplifying x = -0.3333333333
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