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Simplifying -4(6x + 2) + 2x + -4(5 + -3x) = 22 Reorder the terms: -4(2 + 6x) + 2x + -4(5 + -3x) = 22 (2 * -4 + 6x * -4) + 2x + -4(5 + -3x) = 22 (-8 + -24x) + 2x + -4(5 + -3x) = 22 -8 + -24x + 2x + (5 * -4 + -3x * -4) = 22 -8 + -24x + 2x + (-20 + 12x) = 22 Reorder the terms: -8 + -20 + -24x + 2x + 12x = 22 Combine like terms: -8 + -20 = -28 -28 + -24x + 2x + 12x = 22 Combine like terms: -24x + 2x = -22x -28 + -22x + 12x = 22 Combine like terms: -22x + 12x = -10x -28 + -10x = 22 Solving -28 + -10x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -10x = 22 + 28 Combine like terms: -28 + 28 = 0 0 + -10x = 22 + 28 -10x = 22 + 28 Combine like terms: 22 + 28 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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