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Simplifying 6 = 3(x + 7) + -5x Reorder the terms: 6 = 3(7 + x) + -5x 6 = (7 * 3 + x * 3) + -5x 6 = (21 + 3x) + -5x Combine like terms: 3x + -5x = -2x 6 = 21 + -2x Solving 6 = 21 + -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. 6 + 2x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 2x = 21 + 0 6 + 2x = 21 Add '-6' to each side of the equation. 6 + -6 + 2x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 21 + -6 2x = 21 + -6 Combine like terms: 21 + -6 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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