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Simplifying 7(x + 2) + 1 = (x + 14) + -4x Reorder the terms: 7(2 + x) + 1 = (x + 14) + -4x (2 * 7 + x * 7) + 1 = (x + 14) + -4x (14 + 7x) + 1 = (x + 14) + -4x Reorder the terms: 14 + 1 + 7x = (x + 14) + -4x Combine like terms: 14 + 1 = 15 15 + 7x = (x + 14) + -4x Reorder the terms: 15 + 7x = (14 + x) + -4x Remove parenthesis around (14 + x) 15 + 7x = 14 + x + -4x Combine like terms: x + -4x = -3x 15 + 7x = 14 + -3x Solving 15 + 7x = 14 + -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. 15 + 7x + 3x = 14 + -3x + 3x Combine like terms: 7x + 3x = 10x 15 + 10x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 10x = 14 + 0 15 + 10x = 14 Add '-15' to each side of the equation. 15 + -15 + 10x = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 14 + -15 10x = 14 + -15 Combine like terms: 14 + -15 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1
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