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Simplifying 6(x + 4) = 8(x + -2) Reorder the terms: 6(4 + x) = 8(x + -2) (4 * 6 + x * 6) = 8(x + -2) (24 + 6x) = 8(x + -2) Reorder the terms: 24 + 6x = 8(-2 + x) 24 + 6x = (-2 * 8 + x * 8) 24 + 6x = (-16 + 8x) Solving 24 + 6x = -16 + 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. 24 + 6x + -8x = -16 + 8x + -8x Combine like terms: 6x + -8x = -2x 24 + -2x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -2x = -16 + 0 24 + -2x = -16 Add '-24' to each side of the equation. 24 + -24 + -2x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -16 + -24 -2x = -16 + -24 Combine like terms: -16 + -24 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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