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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 = 176 -10x = 176 Divide each side by '-10'. x = -17.6 Simplifying x = -17.6
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