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Simplifying 30 + 3(4x + -3) = 34 + 2(5x + -2) Reorder the terms: 30 + 3(-3 + 4x) = 34 + 2(5x + -2) 30 + (-3 * 3 + 4x * 3) = 34 + 2(5x + -2) 30 + (-9 + 12x) = 34 + 2(5x + -2) Combine like terms: 30 + -9 = 21 21 + 12x = 34 + 2(5x + -2) Reorder the terms: 21 + 12x = 34 + 2(-2 + 5x) 21 + 12x = 34 + (-2 * 2 + 5x * 2) 21 + 12x = 34 + (-4 + 10x) Combine like terms: 34 + -4 = 30 21 + 12x = 30 + 10x Solving 21 + 12x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 12x + -10x = 30 + 10x + -10x Combine like terms: 12x + -10x = 2x 21 + 2x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + 2x = 30 + 0 21 + 2x = 30 Add '-21' to each side of the equation. 21 + -21 + 2x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 30 + -21 2x = 30 + -21 Combine like terms: 30 + -21 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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