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Simplifying 5x + 3 = 2x + -3(3x + 2) Reorder the terms: 3 + 5x = 2x + -3(3x + 2) Reorder the terms: 3 + 5x = 2x + -3(2 + 3x) 3 + 5x = 2x + (2 * -3 + 3x * -3) 3 + 5x = 2x + (-6 + -9x) Reorder the terms: 3 + 5x = -6 + 2x + -9x Combine like terms: 2x + -9x = -7x 3 + 5x = -6 + -7x Solving 3 + 5x = -6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + 5x + 7x = -6 + -7x + 7x Combine like terms: 5x + 7x = 12x 3 + 12x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 12x = -6 + 0 3 + 12x = -6 Add '-3' to each side of the equation. 3 + -3 + 12x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = -6 + -3 12x = -6 + -3 Combine like terms: -6 + -3 = -9 12x = -9 Divide each side by '12'. x = -0.75 Simplifying x = -0.75
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