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Simplifying 5(x + -15) + -9x = -2x + -34 Reorder the terms: 5(-15 + x) + -9x = -2x + -34 (-15 * 5 + x * 5) + -9x = -2x + -34 (-75 + 5x) + -9x = -2x + -34 Combine like terms: 5x + -9x = -4x -75 + -4x = -2x + -34 Reorder the terms: -75 + -4x = -34 + -2x Solving -75 + -4x = -34 + -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. -75 + -4x + 2x = -34 + -2x + 2x Combine like terms: -4x + 2x = -2x -75 + -2x = -34 + -2x + 2x Combine like terms: -2x + 2x = 0 -75 + -2x = -34 + 0 -75 + -2x = -34 Add '75' to each side of the equation. -75 + 75 + -2x = -34 + 75 Combine like terms: -75 + 75 = 0 0 + -2x = -34 + 75 -2x = -34 + 75 Combine like terms: -34 + 75 = 41 -2x = 41 Divide each side by '-2'. x = -20.5 Simplifying x = -20.5
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