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Simplifying 7(x + 4) = 1 + -3x + 29 Reorder the terms: 7(4 + x) = 1 + -3x + 29 (4 * 7 + x * 7) = 1 + -3x + 29 (28 + 7x) = 1 + -3x + 29 Reorder the terms: 28 + 7x = 1 + 29 + -3x Combine like terms: 1 + 29 = 30 28 + 7x = 30 + -3x Solving 28 + 7x = 30 + -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. 28 + 7x + 3x = 30 + -3x + 3x Combine like terms: 7x + 3x = 10x 28 + 10x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + 10x = 30 + 0 28 + 10x = 30 Add '-28' to each side of the equation. 28 + -28 + 10x = 30 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = 30 + -28 10x = 30 + -28 Combine like terms: 30 + -28 = 2 10x = 2 Divide each side by '10'. x = 0.2 Simplifying x = 0.2
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