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Simplifying 6(x + 8) = 8(x + -4) Reorder the terms: 6(8 + x) = 8(x + -4) (8 * 6 + x * 6) = 8(x + -4) (48 + 6x) = 8(x + -4) Reorder the terms: 48 + 6x = 8(-4 + x) 48 + 6x = (-4 * 8 + x * 8) 48 + 6x = (-32 + 8x) Solving 48 + 6x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 48 + 6x + -8x = -32 + 8x + -8x Combine like terms: 6x + -8x = -2x 48 + -2x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 48 + -2x = -32 + 0 48 + -2x = -32 Add '-48' to each side of the equation. 48 + -48 + -2x = -32 + -48 Combine like terms: 48 + -48 = 0 0 + -2x = -32 + -48 -2x = -32 + -48 Combine like terms: -32 + -48 = -80 -2x = -80 Divide each side by '-2'. x = 40 Simplifying x = 40
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