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Simplifying 7(x + 4) = 3x + 12 + x + -5 Reorder the terms: 7(4 + x) = 3x + 12 + x + -5 (4 * 7 + x * 7) = 3x + 12 + x + -5 (28 + 7x) = 3x + 12 + x + -5 Reorder the terms: 28 + 7x = 12 + -5 + 3x + x Combine like terms: 12 + -5 = 7 28 + 7x = 7 + 3x + x Combine like terms: 3x + x = 4x 28 + 7x = 7 + 4x Solving 28 + 7x = 7 + 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. 28 + 7x + -4x = 7 + 4x + -4x Combine like terms: 7x + -4x = 3x 28 + 3x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 3x = 7 + 0 28 + 3x = 7 Add '-28' to each side of the equation. 28 + -28 + 3x = 7 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 7 + -28 3x = 7 + -28 Combine like terms: 7 + -28 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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