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Simplifying 5(-2 + -3x) + 2(x + 5) = 5x + -4x (-2 * 5 + -3x * 5) + 2(x + 5) = 5x + -4x (-10 + -15x) + 2(x + 5) = 5x + -4x Reorder the terms: -10 + -15x + 2(5 + x) = 5x + -4x -10 + -15x + (5 * 2 + x * 2) = 5x + -4x -10 + -15x + (10 + 2x) = 5x + -4x Reorder the terms: -10 + 10 + -15x + 2x = 5x + -4x Combine like terms: -10 + 10 = 0 0 + -15x + 2x = 5x + -4x -15x + 2x = 5x + -4x Combine like terms: -15x + 2x = -13x -13x = 5x + -4x Combine like terms: 5x + -4x = 1x -13x = 1x Solving -13x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13x + -1x = 1x + -1x Combine like terms: -13x + -1x = -14x -14x = 1x + -1x Combine like terms: 1x + -1x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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