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Simplifying 5(3x + -4) = 2(5 + -1x) + -1x Reorder the terms: 5(-4 + 3x) = 2(5 + -1x) + -1x (-4 * 5 + 3x * 5) = 2(5 + -1x) + -1x (-20 + 15x) = 2(5 + -1x) + -1x -20 + 15x = (5 * 2 + -1x * 2) + -1x -20 + 15x = (10 + -2x) + -1x Combine like terms: -2x + -1x = -3x -20 + 15x = 10 + -3x Solving -20 + 15x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 15x + 3x = 10 + -3x + 3x Combine like terms: 15x + 3x = 18x -20 + 18x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 18x = 10 + 0 -20 + 18x = 10 Add '20' to each side of the equation. -20 + 20 + 18x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = 10 + 20 18x = 10 + 20 Combine like terms: 10 + 20 = 30 18x = 30 Divide each side by '18'. x = 1.666666667 Simplifying x = 1.666666667
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