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Simplifying 2x + -1(12 + -2x) = 4(3x + -8) + 4 2x + (12 * -1 + -2x * -1) = 4(3x + -8) + 4 2x + (-12 + 2x) = 4(3x + -8) + 4 Reorder the terms: -12 + 2x + 2x = 4(3x + -8) + 4 Combine like terms: 2x + 2x = 4x -12 + 4x = 4(3x + -8) + 4 Reorder the terms: -12 + 4x = 4(-8 + 3x) + 4 -12 + 4x = (-8 * 4 + 3x * 4) + 4 -12 + 4x = (-32 + 12x) + 4 Reorder the terms: -12 + 4x = -32 + 4 + 12x Combine like terms: -32 + 4 = -28 -12 + 4x = -28 + 12x Solving -12 + 4x = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 4x + -12x = -28 + 12x + -12x Combine like terms: 4x + -12x = -8x -12 + -8x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -8x = -28 + 0 -12 + -8x = -28 Add '12' to each side of the equation. -12 + 12 + -8x = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -28 + 12 -8x = -28 + 12 Combine like terms: -28 + 12 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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