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Simplifying 2x + 2(x + -6) = 8x + -6(x + -10) Reorder the terms: 2x + 2(-6 + x) = 8x + -6(x + -10) 2x + (-6 * 2 + x * 2) = 8x + -6(x + -10) 2x + (-12 + 2x) = 8x + -6(x + -10) Reorder the terms: -12 + 2x + 2x = 8x + -6(x + -10) Combine like terms: 2x + 2x = 4x -12 + 4x = 8x + -6(x + -10) Reorder the terms: -12 + 4x = 8x + -6(-10 + x) -12 + 4x = 8x + (-10 * -6 + x * -6) -12 + 4x = 8x + (60 + -6x) Reorder the terms: -12 + 4x = 60 + 8x + -6x Combine like terms: 8x + -6x = 2x -12 + 4x = 60 + 2x Solving -12 + 4x = 60 + 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. -12 + 4x + -2x = 60 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 60 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 60 + 0 -12 + 2x = 60 Add '12' to each side of the equation. -12 + 12 + 2x = 60 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 60 + 12 2x = 60 + 12 Combine like terms: 60 + 12 = 72 2x = 72 Divide each side by '2'. x = 36 Simplifying x = 36
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