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Simplifying 3(2x + 5) + -4 = 5x + 45 Reorder the terms: 3(5 + 2x) + -4 = 5x + 45 (5 * 3 + 2x * 3) + -4 = 5x + 45 (15 + 6x) + -4 = 5x + 45 Reorder the terms: 15 + -4 + 6x = 5x + 45 Combine like terms: 15 + -4 = 11 11 + 6x = 5x + 45 Reorder the terms: 11 + 6x = 45 + 5x Solving 11 + 6x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + 6x + -5x = 45 + 5x + -5x Combine like terms: 6x + -5x = 1x 11 + 1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 1x = 45 + 0 11 + 1x = 45 Add '-11' to each side of the equation. 11 + -11 + 1x = 45 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 45 + -11 1x = 45 + -11 Combine like terms: 45 + -11 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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