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Simplifying 5(3x + -2) + -3(x + -1) = 1000 Reorder the terms: 5(-2 + 3x) + -3(x + -1) = 1000 (-2 * 5 + 3x * 5) + -3(x + -1) = 1000 (-10 + 15x) + -3(x + -1) = 1000 Reorder the terms: -10 + 15x + -3(-1 + x) = 1000 -10 + 15x + (-1 * -3 + x * -3) = 1000 -10 + 15x + (3 + -3x) = 1000 Reorder the terms: -10 + 3 + 15x + -3x = 1000 Combine like terms: -10 + 3 = -7 -7 + 15x + -3x = 1000 Combine like terms: 15x + -3x = 12x -7 + 12x = 1000 Solving -7 + 12x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12x = 1000 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 1000 + 7 12x = 1000 + 7 Combine like terms: 1000 + 7 = 1007 12x = 1007 Divide each side by '12'. x = 83.91666667 Simplifying x = 83.91666667
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