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Simplifying 10(x + -3) + -1(3x + -4) = 2 Reorder the terms: 10(-3 + x) + -1(3x + -4) = 2 (-3 * 10 + x * 10) + -1(3x + -4) = 2 (-30 + 10x) + -1(3x + -4) = 2 Reorder the terms: -30 + 10x + -1(-4 + 3x) = 2 -30 + 10x + (-4 * -1 + 3x * -1) = 2 -30 + 10x + (4 + -3x) = 2 Reorder the terms: -30 + 4 + 10x + -3x = 2 Combine like terms: -30 + 4 = -26 -26 + 10x + -3x = 2 Combine like terms: 10x + -3x = 7x -26 + 7x = 2 Solving -26 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 7x = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 2 + 26 7x = 2 + 26 Combine like terms: 2 + 26 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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