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Simplifying 2(2x + -6) + 2(x + -10) = 2(x + 4) + 2(x + 2) Reorder the terms: 2(-6 + 2x) + 2(x + -10) = 2(x + 4) + 2(x + 2) (-6 * 2 + 2x * 2) + 2(x + -10) = 2(x + 4) + 2(x + 2) (-12 + 4x) + 2(x + -10) = 2(x + 4) + 2(x + 2) Reorder the terms: -12 + 4x + 2(-10 + x) = 2(x + 4) + 2(x + 2) -12 + 4x + (-10 * 2 + x * 2) = 2(x + 4) + 2(x + 2) -12 + 4x + (-20 + 2x) = 2(x + 4) + 2(x + 2) Reorder the terms: -12 + -20 + 4x + 2x = 2(x + 4) + 2(x + 2) Combine like terms: -12 + -20 = -32 -32 + 4x + 2x = 2(x + 4) + 2(x + 2) Combine like terms: 4x + 2x = 6x -32 + 6x = 2(x + 4) + 2(x + 2) Reorder the terms: -32 + 6x = 2(4 + x) + 2(x + 2) -32 + 6x = (4 * 2 + x * 2) + 2(x + 2) -32 + 6x = (8 + 2x) + 2(x + 2) Reorder the terms: -32 + 6x = 8 + 2x + 2(2 + x) -32 + 6x = 8 + 2x + (2 * 2 + x * 2) -32 + 6x = 8 + 2x + (4 + 2x) Reorder the terms: -32 + 6x = 8 + 4 + 2x + 2x Combine like terms: 8 + 4 = 12 -32 + 6x = 12 + 2x + 2x Combine like terms: 2x + 2x = 4x -32 + 6x = 12 + 4x Solving -32 + 6x = 12 + 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. -32 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -32 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 2x = 12 + 0 -32 + 2x = 12 Add '32' to each side of the equation. -32 + 32 + 2x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 12 + 32 2x = 12 + 32 Combine like terms: 12 + 32 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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