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Simplifying 4(x + -1) + -8(1 + -6x) = -64 Reorder the terms: 4(-1 + x) + -8(1 + -6x) = -64 (-1 * 4 + x * 4) + -8(1 + -6x) = -64 (-4 + 4x) + -8(1 + -6x) = -64 -4 + 4x + (1 * -8 + -6x * -8) = -64 -4 + 4x + (-8 + 48x) = -64 Reorder the terms: -4 + -8 + 4x + 48x = -64 Combine like terms: -4 + -8 = -12 -12 + 4x + 48x = -64 Combine like terms: 4x + 48x = 52x -12 + 52x = -64 Solving -12 + 52x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 52x = -64 + 12 Combine like terms: -12 + 12 = 0 0 + 52x = -64 + 12 52x = -64 + 12 Combine like terms: -64 + 12 = -52 52x = -52 Divide each side by '52'. x = -1 Simplifying x = -1
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