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Simplifying 4(x + -5) + -2(6x + 3) = 22 Reorder the terms: 4(-5 + x) + -2(6x + 3) = 22 (-5 * 4 + x * 4) + -2(6x + 3) = 22 (-20 + 4x) + -2(6x + 3) = 22 Reorder the terms: -20 + 4x + -2(3 + 6x) = 22 -20 + 4x + (3 * -2 + 6x * -2) = 22 -20 + 4x + (-6 + -12x) = 22 Reorder the terms: -20 + -6 + 4x + -12x = 22 Combine like terms: -20 + -6 = -26 -26 + 4x + -12x = 22 Combine like terms: 4x + -12x = -8x -26 + -8x = 22 Solving -26 + -8x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -8x = 22 + 26 Combine like terms: -26 + 26 = 0 0 + -8x = 22 + 26 -8x = 22 + 26 Combine like terms: 22 + 26 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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