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Simplifying -4(3x + -3) + 10(x + -4) = -22 Reorder the terms: -4(-3 + 3x) + 10(x + -4) = -22 (-3 * -4 + 3x * -4) + 10(x + -4) = -22 (12 + -12x) + 10(x + -4) = -22 Reorder the terms: 12 + -12x + 10(-4 + x) = -22 12 + -12x + (-4 * 10 + x * 10) = -22 12 + -12x + (-40 + 10x) = -22 Reorder the terms: 12 + -40 + -12x + 10x = -22 Combine like terms: 12 + -40 = -28 -28 + -12x + 10x = -22 Combine like terms: -12x + 10x = -2x -28 + -2x = -22 Solving -28 + -2x = -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 + -2x = -22 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -22 + 28 -2x = -22 + 28 Combine like terms: -22 + 28 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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