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Simplifying 6(x + -2) = 8(x + 4) Reorder the terms: 6(-2 + x) = 8(x + 4) (-2 * 6 + x * 6) = 8(x + 4) (-12 + 6x) = 8(x + 4) Reorder the terms: -12 + 6x = 8(4 + x) -12 + 6x = (4 * 8 + x * 8) -12 + 6x = (32 + 8x) Solving -12 + 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. -12 + 6x + -8x = 32 + 8x + -8x Combine like terms: 6x + -8x = -2x -12 + -2x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -2x = 32 + 0 -12 + -2x = 32 Add '12' to each side of the equation. -12 + 12 + -2x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 32 + 12 -2x = 32 + 12 Combine like terms: 32 + 12 = 44 -2x = 44 Divide each side by '-2'. x = -22 Simplifying x = -22
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