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Simplifying 3(x + 2) + 4x + -5 = 7(x + 1) * 6 Reorder the terms: 3(2 + x) + 4x + -5 = 7(x + 1) * 6 (2 * 3 + x * 3) + 4x + -5 = 7(x + 1) * 6 (6 + 3x) + 4x + -5 = 7(x + 1) * 6 Reorder the terms: 6 + -5 + 3x + 4x = 7(x + 1) * 6 Combine like terms: 6 + -5 = 1 1 + 3x + 4x = 7(x + 1) * 6 Combine like terms: 3x + 4x = 7x 1 + 7x = 7(x + 1) * 6 Reorder the terms: 1 + 7x = 7(1 + x) * 6 Reorder the terms for easier multiplication: 1 + 7x = 7 * 6(1 + x) Multiply 7 * 6 1 + 7x = 42(1 + x) 1 + 7x = (1 * 42 + x * 42) 1 + 7x = (42 + 42x) Solving 1 + 7x = 42 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 1 + 7x + -42x = 42 + 42x + -42x Combine like terms: 7x + -42x = -35x 1 + -35x = 42 + 42x + -42x Combine like terms: 42x + -42x = 0 1 + -35x = 42 + 0 1 + -35x = 42 Add '-1' to each side of the equation. 1 + -1 + -35x = 42 + -1 Combine like terms: 1 + -1 = 0 0 + -35x = 42 + -1 -35x = 42 + -1 Combine like terms: 42 + -1 = 41 -35x = 41 Divide each side by '-35'. x = -1.171428571 Simplifying x = -1.171428571
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