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Simplifying 6(x + -6) = 2x + 2(x + -8) Reorder the terms: 6(-6 + x) = 2x + 2(x + -8) (-6 * 6 + x * 6) = 2x + 2(x + -8) (-36 + 6x) = 2x + 2(x + -8) Reorder the terms: -36 + 6x = 2x + 2(-8 + x) -36 + 6x = 2x + (-8 * 2 + x * 2) -36 + 6x = 2x + (-16 + 2x) Reorder the terms: -36 + 6x = -16 + 2x + 2x Combine like terms: 2x + 2x = 4x -36 + 6x = -16 + 4x Solving -36 + 6x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x -36 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 2x = -16 + 0 -36 + 2x = -16 Add '36' to each side of the equation. -36 + 36 + 2x = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -16 + 36 2x = -16 + 36 Combine like terms: -16 + 36 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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