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