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Simplifying 5(4 + -3x) + -2(10 + -1x) = 5x (4 * 5 + -3x * 5) + -2(10 + -1x) = 5x (20 + -15x) + -2(10 + -1x) = 5x 20 + -15x + (10 * -2 + -1x * -2) = 5x 20 + -15x + (-20 + 2x) = 5x Reorder the terms: 20 + -20 + -15x + 2x = 5x Combine like terms: 20 + -20 = 0 0 + -15x + 2x = 5x -15x + 2x = 5x Combine like terms: -15x + 2x = -13x -13x = 5x Solving -13x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13x + -5x = 5x + -5x Combine like terms: -13x + -5x = -18x -18x = 5x + -5x Combine like terms: 5x + -5x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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