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Simplifying 3(x + 7) + -5x = x + 15 Reorder the terms: 3(7 + x) + -5x = x + 15 (7 * 3 + x * 3) + -5x = x + 15 (21 + 3x) + -5x = x + 15 Combine like terms: 3x + -5x = -2x 21 + -2x = x + 15 Reorder the terms: 21 + -2x = 15 + x Solving 21 + -2x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + -2x + -1x = 15 + x + -1x Combine like terms: -2x + -1x = -3x 21 + -3x = 15 + x + -1x Combine like terms: x + -1x = 0 21 + -3x = 15 + 0 21 + -3x = 15 Add '-21' to each side of the equation. 21 + -21 + -3x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 15 + -21 -3x = 15 + -21 Combine like terms: 15 + -21 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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