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Simplifying 1(x + -12) + 2(x + 2) = 4x + 8 Reorder the terms: 1(-12 + x) + 2(x + 2) = 4x + 8 (-12 * 1 + x * 1) + 2(x + 2) = 4x + 8 (-12 + 1x) + 2(x + 2) = 4x + 8 Reorder the terms: -12 + 1x + 2(2 + x) = 4x + 8 -12 + 1x + (2 * 2 + x * 2) = 4x + 8 -12 + 1x + (4 + 2x) = 4x + 8 Reorder the terms: -12 + 4 + 1x + 2x = 4x + 8 Combine like terms: -12 + 4 = -8 -8 + 1x + 2x = 4x + 8 Combine like terms: 1x + 2x = 3x -8 + 3x = 4x + 8 Reorder the terms: -8 + 3x = 8 + 4x Solving -8 + 3x = 8 + 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. -8 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = 8 + 0 -8 + -1x = 8 Add '8' to each side of the equation. -8 + 8 + -1x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 8 + 8 -1x = 8 + 8 Combine like terms: 8 + 8 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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