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Simplifying 2x + -12 = 2(x + -12) + 2(x + -12) + -4 Reorder the terms: -12 + 2x = 2(x + -12) + 2(x + -12) + -4 Reorder the terms: -12 + 2x = 2(-12 + x) + 2(x + -12) + -4 -12 + 2x = (-12 * 2 + x * 2) + 2(x + -12) + -4 -12 + 2x = (-24 + 2x) + 2(x + -12) + -4 Reorder the terms: -12 + 2x = -24 + 2x + 2(-12 + x) + -4 -12 + 2x = -24 + 2x + (-12 * 2 + x * 2) + -4 -12 + 2x = -24 + 2x + (-24 + 2x) + -4 Reorder the terms: -12 + 2x = -24 + -24 + -4 + 2x + 2x Combine like terms: -24 + -24 = -48 -12 + 2x = -48 + -4 + 2x + 2x Combine like terms: -48 + -4 = -52 -12 + 2x = -52 + 2x + 2x Combine like terms: 2x + 2x = 4x -12 + 2x = -52 + 4x Solving -12 + 2x = -52 + 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. -12 + 2x + -4x = -52 + 4x + -4x Combine like terms: 2x + -4x = -2x -12 + -2x = -52 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -2x = -52 + 0 -12 + -2x = -52 Add '12' to each side of the equation. -12 + 12 + -2x = -52 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -52 + 12 -2x = -52 + 12 Combine like terms: -52 + 12 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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