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Simplifying -9x + 5(-3x + -4) = -42 + -2x Reorder the terms: -9x + 5(-4 + -3x) = -42 + -2x -9x + (-4 * 5 + -3x * 5) = -42 + -2x -9x + (-20 + -15x) = -42 + -2x Reorder the terms: -20 + -9x + -15x = -42 + -2x Combine like terms: -9x + -15x = -24x -20 + -24x = -42 + -2x Solving -20 + -24x = -42 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + -24x + 2x = -42 + -2x + 2x Combine like terms: -24x + 2x = -22x -20 + -22x = -42 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -22x = -42 + 0 -20 + -22x = -42 Add '20' to each side of the equation. -20 + 20 + -22x = -42 + 20 Combine like terms: -20 + 20 = 0 0 + -22x = -42 + 20 -22x = -42 + 20 Combine like terms: -42 + 20 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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