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