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Simplifying 10(-2x + -3) + -4(5x + 3) = 38 Reorder the terms: 10(-3 + -2x) + -4(5x + 3) = 38 (-3 * 10 + -2x * 10) + -4(5x + 3) = 38 (-30 + -20x) + -4(5x + 3) = 38 Reorder the terms: -30 + -20x + -4(3 + 5x) = 38 -30 + -20x + (3 * -4 + 5x * -4) = 38 -30 + -20x + (-12 + -20x) = 38 Reorder the terms: -30 + -12 + -20x + -20x = 38 Combine like terms: -30 + -12 = -42 -42 + -20x + -20x = 38 Combine like terms: -20x + -20x = -40x -42 + -40x = 38 Solving -42 + -40x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -40x = 38 + 42 Combine like terms: -42 + 42 = 0 0 + -40x = 38 + 42 -40x = 38 + 42 Combine like terms: 38 + 42 = 80 -40x = 80 Divide each side by '-40'. x = -2 Simplifying x = -2
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