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Simplifying 8(2x + -3) + -5(3x + -4) = 10 Reorder the terms: 8(-3 + 2x) + -5(3x + -4) = 10 (-3 * 8 + 2x * 8) + -5(3x + -4) = 10 (-24 + 16x) + -5(3x + -4) = 10 Reorder the terms: -24 + 16x + -5(-4 + 3x) = 10 -24 + 16x + (-4 * -5 + 3x * -5) = 10 -24 + 16x + (20 + -15x) = 10 Reorder the terms: -24 + 20 + 16x + -15x = 10 Combine like terms: -24 + 20 = -4 -4 + 16x + -15x = 10 Combine like terms: 16x + -15x = 1x -4 + 1x = 10 Solving -4 + 1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 10 + 4 1x = 10 + 4 Combine like terms: 10 + 4 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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