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Simplifying (6x + 1) + -1(-2x + 7) = 0 Reorder the terms: (1 + 6x) + -1(-2x + 7) = 0 Remove parenthesis around (1 + 6x) 1 + 6x + -1(-2x + 7) = 0 Reorder the terms: 1 + 6x + -1(7 + -2x) = 0 1 + 6x + (7 * -1 + -2x * -1) = 0 1 + 6x + (-7 + 2x) = 0 Reorder the terms: 1 + -7 + 6x + 2x = 0 Combine like terms: 1 + -7 = -6 -6 + 6x + 2x = 0 Combine like terms: 6x + 2x = 8x -6 + 8x = 0 Solving -6 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 0 + 6 8x = 0 + 6 Combine like terms: 0 + 6 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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