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Simplifying 5(4x + -5) + -3(3x + -16) = 10x + 25 Reorder the terms: 5(-5 + 4x) + -3(3x + -16) = 10x + 25 (-5 * 5 + 4x * 5) + -3(3x + -16) = 10x + 25 (-25 + 20x) + -3(3x + -16) = 10x + 25 Reorder the terms: -25 + 20x + -3(-16 + 3x) = 10x + 25 -25 + 20x + (-16 * -3 + 3x * -3) = 10x + 25 -25 + 20x + (48 + -9x) = 10x + 25 Reorder the terms: -25 + 48 + 20x + -9x = 10x + 25 Combine like terms: -25 + 48 = 23 23 + 20x + -9x = 10x + 25 Combine like terms: 20x + -9x = 11x 23 + 11x = 10x + 25 Reorder the terms: 23 + 11x = 25 + 10x Solving 23 + 11x = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 23 + 11x + -10x = 25 + 10x + -10x Combine like terms: 11x + -10x = 1x 23 + 1x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 23 + 1x = 25 + 0 23 + 1x = 25 Add '-23' to each side of the equation. 23 + -23 + 1x = 25 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 25 + -23 1x = 25 + -23 Combine like terms: 25 + -23 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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