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Simplifying 5(3x + 2) + 2(2x + 1) = 5x + 40 Reorder the terms: 5(2 + 3x) + 2(2x + 1) = 5x + 40 (2 * 5 + 3x * 5) + 2(2x + 1) = 5x + 40 (10 + 15x) + 2(2x + 1) = 5x + 40 Reorder the terms: 10 + 15x + 2(1 + 2x) = 5x + 40 10 + 15x + (1 * 2 + 2x * 2) = 5x + 40 10 + 15x + (2 + 4x) = 5x + 40 Reorder the terms: 10 + 2 + 15x + 4x = 5x + 40 Combine like terms: 10 + 2 = 12 12 + 15x + 4x = 5x + 40 Combine like terms: 15x + 4x = 19x 12 + 19x = 5x + 40 Reorder the terms: 12 + 19x = 40 + 5x Solving 12 + 19x = 40 + 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. 12 + 19x + -5x = 40 + 5x + -5x Combine like terms: 19x + -5x = 14x 12 + 14x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 14x = 40 + 0 12 + 14x = 40 Add '-12' to each side of the equation. 12 + -12 + 14x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 40 + -12 14x = 40 + -12 Combine like terms: 40 + -12 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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