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Simplifying 4(x + 7) + 3x = 12 + 4x + -5 Reorder the terms: 4(7 + x) + 3x = 12 + 4x + -5 (7 * 4 + x * 4) + 3x = 12 + 4x + -5 (28 + 4x) + 3x = 12 + 4x + -5 Combine like terms: 4x + 3x = 7x 28 + 7x = 12 + 4x + -5 Reorder the terms: 28 + 7x = 12 + -5 + 4x Combine like terms: 12 + -5 = 7 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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