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Simplifying 3(x + 7) = 4x + 15 Reorder the terms: 3(7 + x) = 4x + 15 (7 * 3 + x * 3) = 4x + 15 (21 + 3x) = 4x + 15 Reorder the terms: 21 + 3x = 15 + 4x Solving 21 + 3x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 3x + -4x = 15 + 4x + -4x Combine like terms: 3x + -4x = -1x 21 + -1x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -1x = 15 + 0 21 + -1x = 15 Add '-21' to each side of the equation. 21 + -21 + -1x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 15 + -21 -1x = 15 + -21 Combine like terms: 15 + -21 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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