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Simplifying 6(x + -6) = 10(x + -2) Reorder the terms: 6(-6 + x) = 10(x + -2) (-6 * 6 + x * 6) = 10(x + -2) (-36 + 6x) = 10(x + -2) Reorder the terms: -36 + 6x = 10(-2 + x) -36 + 6x = (-2 * 10 + x * 10) -36 + 6x = (-20 + 10x) Solving -36 + 6x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -36 + 6x + -10x = -20 + 10x + -10x Combine like terms: 6x + -10x = -4x -36 + -4x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -36 + -4x = -20 + 0 -36 + -4x = -20 Add '36' to each side of the equation. -36 + 36 + -4x = -20 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = -20 + 36 -4x = -20 + 36 Combine like terms: -20 + 36 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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