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Simplifying 7 = 4(x + 7) + -7x Reorder the terms: 7 = 4(7 + x) + -7x 7 = (7 * 4 + x * 4) + -7x 7 = (28 + 4x) + -7x Combine like terms: 4x + -7x = -3x 7 = 28 + -3x Solving 7 = 28 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 3x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 3x = 28 + 0 7 + 3x = 28 Add '-7' to each side of the equation. 7 + -7 + 3x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 28 + -7 3x = 28 + -7 Combine like terms: 28 + -7 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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