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Simplifying 2(x + -3) + 3(3 + -2x) = 5(4 + -5x) Reorder the terms: 2(-3 + x) + 3(3 + -2x) = 5(4 + -5x) (-3 * 2 + x * 2) + 3(3 + -2x) = 5(4 + -5x) (-6 + 2x) + 3(3 + -2x) = 5(4 + -5x) -6 + 2x + (3 * 3 + -2x * 3) = 5(4 + -5x) -6 + 2x + (9 + -6x) = 5(4 + -5x) Reorder the terms: -6 + 9 + 2x + -6x = 5(4 + -5x) Combine like terms: -6 + 9 = 3 3 + 2x + -6x = 5(4 + -5x) Combine like terms: 2x + -6x = -4x 3 + -4x = 5(4 + -5x) 3 + -4x = (4 * 5 + -5x * 5) 3 + -4x = (20 + -25x) Solving 3 + -4x = 20 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 3 + -4x + 25x = 20 + -25x + 25x Combine like terms: -4x + 25x = 21x 3 + 21x = 20 + -25x + 25x Combine like terms: -25x + 25x = 0 3 + 21x = 20 + 0 3 + 21x = 20 Add '-3' to each side of the equation. 3 + -3 + 21x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 21x = 20 + -3 21x = 20 + -3 Combine like terms: 20 + -3 = 17 21x = 17 Divide each side by '21'. x = 0.8095238095 Simplifying x = 0.8095238095
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