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Simplifying 2(5x + -8) = 3(3x + 5) + -21 Reorder the terms: 2(-8 + 5x) = 3(3x + 5) + -21 (-8 * 2 + 5x * 2) = 3(3x + 5) + -21 (-16 + 10x) = 3(3x + 5) + -21 Reorder the terms: -16 + 10x = 3(5 + 3x) + -21 -16 + 10x = (5 * 3 + 3x * 3) + -21 -16 + 10x = (15 + 9x) + -21 Reorder the terms: -16 + 10x = 15 + -21 + 9x Combine like terms: 15 + -21 = -6 -16 + 10x = -6 + 9x Solving -16 + 10x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 10x + -9x = -6 + 9x + -9x Combine like terms: 10x + -9x = 1x -16 + 1x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + 1x = -6 + 0 -16 + 1x = -6 Add '16' to each side of the equation. -16 + 16 + 1x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -6 + 16 1x = -6 + 16 Combine like terms: -6 + 16 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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