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Simplifying -40(x + -8) = -6(8x + -64) Reorder the terms: -40(-8 + x) = -6(8x + -64) (-8 * -40 + x * -40) = -6(8x + -64) (320 + -40x) = -6(8x + -64) Reorder the terms: 320 + -40x = -6(-64 + 8x) 320 + -40x = (-64 * -6 + 8x * -6) 320 + -40x = (384 + -48x) Solving 320 + -40x = 384 + -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. 320 + -40x + 48x = 384 + -48x + 48x Combine like terms: -40x + 48x = 8x 320 + 8x = 384 + -48x + 48x Combine like terms: -48x + 48x = 0 320 + 8x = 384 + 0 320 + 8x = 384 Add '-320' to each side of the equation. 320 + -320 + 8x = 384 + -320 Combine like terms: 320 + -320 = 0 0 + 8x = 384 + -320 8x = 384 + -320 Combine like terms: 384 + -320 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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