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Simplifying 3(x + 7) = 4x + -6 Reorder the terms: 3(7 + x) = 4x + -6 (7 * 3 + x * 3) = 4x + -6 (21 + 3x) = 4x + -6 Reorder the terms: 21 + 3x = -6 + 4x Solving 21 + 3x = -6 + 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 = -6 + 4x + -4x Combine like terms: 3x + -4x = -1x 21 + -1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -1x = -6 + 0 21 + -1x = -6 Add '-21' to each side of the equation. 21 + -21 + -1x = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -6 + -21 -1x = -6 + -21 Combine like terms: -6 + -21 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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