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Simplifying -8(x + 6) = 2(x + -64) Reorder the terms: -8(6 + x) = 2(x + -64) (6 * -8 + x * -8) = 2(x + -64) (-48 + -8x) = 2(x + -64) Reorder the terms: -48 + -8x = 2(-64 + x) -48 + -8x = (-64 * 2 + x * 2) -48 + -8x = (-128 + 2x) Solving -48 + -8x = -128 + 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. -48 + -8x + -2x = -128 + 2x + -2x Combine like terms: -8x + -2x = -10x -48 + -10x = -128 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + -10x = -128 + 0 -48 + -10x = -128 Add '48' to each side of the equation. -48 + 48 + -10x = -128 + 48 Combine like terms: -48 + 48 = 0 0 + -10x = -128 + 48 -10x = -128 + 48 Combine like terms: -128 + 48 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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