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Simplifying 3(x + 1) + -5 = 1(x + 6) Reorder the terms: 3(1 + x) + -5 = 1(x + 6) (1 * 3 + x * 3) + -5 = 1(x + 6) (3 + 3x) + -5 = 1(x + 6) Reorder the terms: 3 + -5 + 3x = 1(x + 6) Combine like terms: 3 + -5 = -2 -2 + 3x = 1(x + 6) Reorder the terms: -2 + 3x = 1(6 + x) -2 + 3x = (6 * 1 + x * 1) -2 + 3x = (6 + 1x) Solving -2 + 3x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 3x + -1x = 6 + 1x + -1x Combine like terms: 3x + -1x = 2x -2 + 2x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 2x = 6 + 0 -2 + 2x = 6 Add '2' to each side of the equation. -2 + 2 + 2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6 + 2 2x = 6 + 2 Combine like terms: 6 + 2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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