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Simplifying 6x + 1 = 3(x + -1) + 7 Reorder the terms: 1 + 6x = 3(x + -1) + 7 Reorder the terms: 1 + 6x = 3(-1 + x) + 7 1 + 6x = (-1 * 3 + x * 3) + 7 1 + 6x = (-3 + 3x) + 7 Reorder the terms: 1 + 6x = -3 + 7 + 3x Combine like terms: -3 + 7 = 4 1 + 6x = 4 + 3x Solving 1 + 6x = 4 + 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. 1 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x 1 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 3x = 4 + 0 1 + 3x = 4 Add '-1' to each side of the equation. 1 + -1 + 3x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 4 + -1 3x = 4 + -1 Combine like terms: 4 + -1 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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