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Simplifying 2(x + -4) + -12 = 5x + -2 + 3x Reorder the terms: 2(-4 + x) + -12 = 5x + -2 + 3x (-4 * 2 + x * 2) + -12 = 5x + -2 + 3x (-8 + 2x) + -12 = 5x + -2 + 3x Reorder the terms: -8 + -12 + 2x = 5x + -2 + 3x Combine like terms: -8 + -12 = -20 -20 + 2x = 5x + -2 + 3x Reorder the terms: -20 + 2x = -2 + 5x + 3x Combine like terms: 5x + 3x = 8x -20 + 2x = -2 + 8x Solving -20 + 2x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 2x + -8x = -2 + 8x + -8x Combine like terms: 2x + -8x = -6x -20 + -6x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -6x = -2 + 0 -20 + -6x = -2 Add '20' to each side of the equation. -20 + 20 + -6x = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = -2 + 20 -6x = -2 + 20 Combine like terms: -2 + 20 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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