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Simplifying 395 + 15x = 2(19x + 15) + 2(12x + -29) Reorder the terms: 395 + 15x = 2(15 + 19x) + 2(12x + -29) 395 + 15x = (15 * 2 + 19x * 2) + 2(12x + -29) 395 + 15x = (30 + 38x) + 2(12x + -29) Reorder the terms: 395 + 15x = 30 + 38x + 2(-29 + 12x) 395 + 15x = 30 + 38x + (-29 * 2 + 12x * 2) 395 + 15x = 30 + 38x + (-58 + 24x) Reorder the terms: 395 + 15x = 30 + -58 + 38x + 24x Combine like terms: 30 + -58 = -28 395 + 15x = -28 + 38x + 24x Combine like terms: 38x + 24x = 62x 395 + 15x = -28 + 62x Solving 395 + 15x = -28 + 62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62x' to each side of the equation. 395 + 15x + -62x = -28 + 62x + -62x Combine like terms: 15x + -62x = -47x 395 + -47x = -28 + 62x + -62x Combine like terms: 62x + -62x = 0 395 + -47x = -28 + 0 395 + -47x = -28 Add '-395' to each side of the equation. 395 + -395 + -47x = -28 + -395 Combine like terms: 395 + -395 = 0 0 + -47x = -28 + -395 -47x = -28 + -395 Combine like terms: -28 + -395 = -423 -47x = -423 Divide each side by '-47'. x = 9 Simplifying x = 9
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