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Simplifying 5x + 3(3 + -2x) = 4(5 + -3x) 5x + (3 * 3 + -2x * 3) = 4(5 + -3x) 5x + (9 + -6x) = 4(5 + -3x) Reorder the terms: 9 + 5x + -6x = 4(5 + -3x) Combine like terms: 5x + -6x = -1x 9 + -1x = 4(5 + -3x) 9 + -1x = (5 * 4 + -3x * 4) 9 + -1x = (20 + -12x) Solving 9 + -1x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 9 + -1x + 12x = 20 + -12x + 12x Combine like terms: -1x + 12x = 11x 9 + 11x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + 11x = 20 + 0 9 + 11x = 20 Add '-9' to each side of the equation. 9 + -9 + 11x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 20 + -9 11x = 20 + -9 Combine like terms: 20 + -9 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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