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Simplifying 8(x + -6) = -2(-8x + -4) Reorder the terms: 8(-6 + x) = -2(-8x + -4) (-6 * 8 + x * 8) = -2(-8x + -4) (-48 + 8x) = -2(-8x + -4) Reorder the terms: -48 + 8x = -2(-4 + -8x) -48 + 8x = (-4 * -2 + -8x * -2) -48 + 8x = (8 + 16x) Solving -48 + 8x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -48 + 8x + -16x = 8 + 16x + -16x Combine like terms: 8x + -16x = -8x -48 + -8x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 -48 + -8x = 8 + 0 -48 + -8x = 8 Add '48' to each side of the equation. -48 + 48 + -8x = 8 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = 8 + 48 -8x = 8 + 48 Combine like terms: 8 + 48 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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