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Simplifying 6(x + -6) = 2(x + -2) Reorder the terms: 6(-6 + x) = 2(x + -2) (-6 * 6 + x * 6) = 2(x + -2) (-36 + 6x) = 2(x + -2) Reorder the terms: -36 + 6x = 2(-2 + x) -36 + 6x = (-2 * 2 + x * 2) -36 + 6x = (-4 + 2x) Solving -36 + 6x = -4 + 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. -36 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x -36 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 4x = -4 + 0 -36 + 4x = -4 Add '36' to each side of the equation. -36 + 36 + 4x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -4 + 36 4x = -4 + 36 Combine like terms: -4 + 36 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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