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Simplifying 1 = 4(x + 7) + -7x Reorder the terms: 1 = 4(7 + x) + -7x 1 = (7 * 4 + x * 4) + -7x 1 = (28 + 4x) + -7x Combine like terms: 4x + -7x = -3x 1 = 28 + -3x Solving 1 = 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. 1 + 3x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 3x = 28 + 0 1 + 3x = 28 Add '-1' to each side of the equation. 1 + -1 + 3x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 28 + -1 3x = 28 + -1 Combine like terms: 28 + -1 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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