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Simplifying 3(3x + -5) + -2(4x + -3) = 5 + 10 Reorder the terms: 3(-5 + 3x) + -2(4x + -3) = 5 + 10 (-5 * 3 + 3x * 3) + -2(4x + -3) = 5 + 10 (-15 + 9x) + -2(4x + -3) = 5 + 10 Reorder the terms: -15 + 9x + -2(-3 + 4x) = 5 + 10 -15 + 9x + (-3 * -2 + 4x * -2) = 5 + 10 -15 + 9x + (6 + -8x) = 5 + 10 Reorder the terms: -15 + 6 + 9x + -8x = 5 + 10 Combine like terms: -15 + 6 = -9 -9 + 9x + -8x = 5 + 10 Combine like terms: 9x + -8x = 1x -9 + 1x = 5 + 10 Combine like terms: 5 + 10 = 15 -9 + 1x = 15 Solving -9 + 1x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 15 + 9 1x = 15 + 9 Combine like terms: 15 + 9 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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