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Simplifying -8(1 + 6x) = 4(x + -2) (1 * -8 + 6x * -8) = 4(x + -2) (-8 + -48x) = 4(x + -2) Reorder the terms: -8 + -48x = 4(-2 + x) -8 + -48x = (-2 * 4 + x * 4) -8 + -48x = (-8 + 4x) Add '8' to each side of the equation. -8 + 8 + -48x = -8 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + -48x = -8 + 8 + 4x -48x = -8 + 8 + 4x Combine like terms: -8 + 8 = 0 -48x = 0 + 4x -48x = 4x Solving -48x = 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. -48x + -4x = 4x + -4x Combine like terms: -48x + -4x = -52x -52x = 4x + -4x Combine like terms: 4x + -4x = 0 -52x = 0 Divide each side by '-52'. x = 0 Simplifying x = 0
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