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Simplifying 2(3x + 5) + -7 + 4x = 5(x + 2) + 4 Reorder the terms: 2(5 + 3x) + -7 + 4x = 5(x + 2) + 4 (5 * 2 + 3x * 2) + -7 + 4x = 5(x + 2) + 4 (10 + 6x) + -7 + 4x = 5(x + 2) + 4 Reorder the terms: 10 + -7 + 6x + 4x = 5(x + 2) + 4 Combine like terms: 10 + -7 = 3 3 + 6x + 4x = 5(x + 2) + 4 Combine like terms: 6x + 4x = 10x 3 + 10x = 5(x + 2) + 4 Reorder the terms: 3 + 10x = 5(2 + x) + 4 3 + 10x = (2 * 5 + x * 5) + 4 3 + 10x = (10 + 5x) + 4 Reorder the terms: 3 + 10x = 10 + 4 + 5x Combine like terms: 10 + 4 = 14 3 + 10x = 14 + 5x Solving 3 + 10x = 14 + 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. 3 + 10x + -5x = 14 + 5x + -5x Combine like terms: 10x + -5x = 5x 3 + 5x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 5x = 14 + 0 3 + 5x = 14 Add '-3' to each side of the equation. 3 + -3 + 5x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 14 + -3 5x = 14 + -3 Combine like terms: 14 + -3 = 11 5x = 11 Divide each side by '5'. x = 2.2 Simplifying x = 2.2
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