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Simplifying 2(8x + -5) = 3(5x + 3) Reorder the terms: 2(-5 + 8x) = 3(5x + 3) (-5 * 2 + 8x * 2) = 3(5x + 3) (-10 + 16x) = 3(5x + 3) Reorder the terms: -10 + 16x = 3(3 + 5x) -10 + 16x = (3 * 3 + 5x * 3) -10 + 16x = (9 + 15x) Solving -10 + 16x = 9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 16x + -15x = 9 + 15x + -15x Combine like terms: 16x + -15x = 1x -10 + 1x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + 1x = 9 + 0 -10 + 1x = 9 Add '10' to each side of the equation. -10 + 10 + 1x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 9 + 10 1x = 9 + 10 Combine like terms: 9 + 10 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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