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Simplifying 5(5 + -2x) = 3(8 + -3x) (5 * 5 + -2x * 5) = 3(8 + -3x) (25 + -10x) = 3(8 + -3x) 25 + -10x = (8 * 3 + -3x * 3) 25 + -10x = (24 + -9x) Solving 25 + -10x = 24 + -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. 25 + -10x + 9x = 24 + -9x + 9x Combine like terms: -10x + 9x = -1x 25 + -1x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 25 + -1x = 24 + 0 25 + -1x = 24 Add '-25' to each side of the equation. 25 + -25 + -1x = 24 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 24 + -25 -1x = 24 + -25 Combine like terms: 24 + -25 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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