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Simplifying 4(x + 5) + 3(x + 3) = 2(x + 15) + 4 Reorder the terms: 4(5 + x) + 3(x + 3) = 2(x + 15) + 4 (5 * 4 + x * 4) + 3(x + 3) = 2(x + 15) + 4 (20 + 4x) + 3(x + 3) = 2(x + 15) + 4 Reorder the terms: 20 + 4x + 3(3 + x) = 2(x + 15) + 4 20 + 4x + (3 * 3 + x * 3) = 2(x + 15) + 4 20 + 4x + (9 + 3x) = 2(x + 15) + 4 Reorder the terms: 20 + 9 + 4x + 3x = 2(x + 15) + 4 Combine like terms: 20 + 9 = 29 29 + 4x + 3x = 2(x + 15) + 4 Combine like terms: 4x + 3x = 7x 29 + 7x = 2(x + 15) + 4 Reorder the terms: 29 + 7x = 2(15 + x) + 4 29 + 7x = (15 * 2 + x * 2) + 4 29 + 7x = (30 + 2x) + 4 Reorder the terms: 29 + 7x = 30 + 4 + 2x Combine like terms: 30 + 4 = 34 29 + 7x = 34 + 2x Solving 29 + 7x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 29 + 7x + -2x = 34 + 2x + -2x Combine like terms: 7x + -2x = 5x 29 + 5x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + 5x = 34 + 0 29 + 5x = 34 Add '-29' to each side of the equation. 29 + -29 + 5x = 34 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 34 + -29 5x = 34 + -29 Combine like terms: 34 + -29 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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