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Simplifying 7(x + 2) + 1 = 3(x + 14) + -4x Reorder the terms: 7(2 + x) + 1 = 3(x + 14) + -4x (2 * 7 + x * 7) + 1 = 3(x + 14) + -4x (14 + 7x) + 1 = 3(x + 14) + -4x Reorder the terms: 14 + 1 + 7x = 3(x + 14) + -4x Combine like terms: 14 + 1 = 15 15 + 7x = 3(x + 14) + -4x Reorder the terms: 15 + 7x = 3(14 + x) + -4x 15 + 7x = (14 * 3 + x * 3) + -4x 15 + 7x = (42 + 3x) + -4x Combine like terms: 3x + -4x = -1x 15 + 7x = 42 + -1x Solving 15 + 7x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 7x + x = 42 + -1x + x Combine like terms: 7x + x = 8x 15 + 8x = 42 + -1x + x Combine like terms: -1x + x = 0 15 + 8x = 42 + 0 15 + 8x = 42 Add '-15' to each side of the equation. 15 + -15 + 8x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 42 + -15 8x = 42 + -15 Combine like terms: 42 + -15 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375
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