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Simplifying 5(2x + 3) + 3w = 7(x + 7) + -22 Reorder the terms: 5(3 + 2x) + 3w = 7(x + 7) + -22 (3 * 5 + 2x * 5) + 3w = 7(x + 7) + -22 (15 + 10x) + 3w = 7(x + 7) + -22 Reorder the terms: 15 + 3w + 10x = 7(x + 7) + -22 Reorder the terms: 15 + 3w + 10x = 7(7 + x) + -22 15 + 3w + 10x = (7 * 7 + x * 7) + -22 15 + 3w + 10x = (49 + 7x) + -22 Reorder the terms: 15 + 3w + 10x = 49 + -22 + 7x Combine like terms: 49 + -22 = 27 15 + 3w + 10x = 27 + 7x Solving 15 + 3w + 10x = 27 + 7x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3w + -15 + 10x = 27 + -15 + 7x Reorder the terms: 15 + -15 + 3w + 10x = 27 + -15 + 7x Combine like terms: 15 + -15 = 0 0 + 3w + 10x = 27 + -15 + 7x 3w + 10x = 27 + -15 + 7x Combine like terms: 27 + -15 = 12 3w + 10x = 12 + 7x Add '-10x' to each side of the equation. 3w + 10x + -10x = 12 + 7x + -10x Combine like terms: 10x + -10x = 0 3w + 0 = 12 + 7x + -10x 3w = 12 + 7x + -10x Combine like terms: 7x + -10x = -3x 3w = 12 + -3x Divide each side by '3'. w = 4 + -1x Simplifying w = 4 + -1x
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