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Simplifying 5(3x + -4) + -1(2x + -1) = 5 Reorder the terms: 5(-4 + 3x) + -1(2x + -1) = 5 (-4 * 5 + 3x * 5) + -1(2x + -1) = 5 (-20 + 15x) + -1(2x + -1) = 5 Reorder the terms: -20 + 15x + -1(-1 + 2x) = 5 -20 + 15x + (-1 * -1 + 2x * -1) = 5 -20 + 15x + (1 + -2x) = 5 Reorder the terms: -20 + 1 + 15x + -2x = 5 Combine like terms: -20 + 1 = -19 -19 + 15x + -2x = 5 Combine like terms: 15x + -2x = 13x -19 + 13x = 5 Solving -19 + 13x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 13x = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 13x = 5 + 19 13x = 5 + 19 Combine like terms: 5 + 19 = 24 13x = 24 Divide each side by '13'. x = 1.846153846 Simplifying x = 1.846153846
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