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Simplifying 10(2x + -3) + -2(3x + 4) = 32 Reorder the terms: 10(-3 + 2x) + -2(3x + 4) = 32 (-3 * 10 + 2x * 10) + -2(3x + 4) = 32 (-30 + 20x) + -2(3x + 4) = 32 Reorder the terms: -30 + 20x + -2(4 + 3x) = 32 -30 + 20x + (4 * -2 + 3x * -2) = 32 -30 + 20x + (-8 + -6x) = 32 Reorder the terms: -30 + -8 + 20x + -6x = 32 Combine like terms: -30 + -8 = -38 -38 + 20x + -6x = 32 Combine like terms: 20x + -6x = 14x -38 + 14x = 32 Solving -38 + 14x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 14x = 32 + 38 Combine like terms: -38 + 38 = 0 0 + 14x = 32 + 38 14x = 32 + 38 Combine like terms: 32 + 38 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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