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Simplifying (3x + -5) * 5 + (4x + -3) * 4 = 25 Reorder the terms: (-5 + 3x) * 5 + (4x + -3) * 4 = 25 Reorder the terms for easier multiplication: 5(-5 + 3x) + (4x + -3) * 4 = 25 (-5 * 5 + 3x * 5) + (4x + -3) * 4 = 25 (-25 + 15x) + (4x + -3) * 4 = 25 Reorder the terms: -25 + 15x + (-3 + 4x) * 4 = 25 Reorder the terms for easier multiplication: -25 + 15x + 4(-3 + 4x) = 25 -25 + 15x + (-3 * 4 + 4x * 4) = 25 -25 + 15x + (-12 + 16x) = 25 Reorder the terms: -25 + -12 + 15x + 16x = 25 Combine like terms: -25 + -12 = -37 -37 + 15x + 16x = 25 Combine like terms: 15x + 16x = 31x -37 + 31x = 25 Solving -37 + 31x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 31x = 25 + 37 Combine like terms: -37 + 37 = 0 0 + 31x = 25 + 37 31x = 25 + 37 Combine like terms: 25 + 37 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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