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Simplifying 7(2 + -1x) + -5(x + -1) = 6x + 1 (2 * 7 + -1x * 7) + -5(x + -1) = 6x + 1 (14 + -7x) + -5(x + -1) = 6x + 1 Reorder the terms: 14 + -7x + -5(-1 + x) = 6x + 1 14 + -7x + (-1 * -5 + x * -5) = 6x + 1 14 + -7x + (5 + -5x) = 6x + 1 Reorder the terms: 14 + 5 + -7x + -5x = 6x + 1 Combine like terms: 14 + 5 = 19 19 + -7x + -5x = 6x + 1 Combine like terms: -7x + -5x = -12x 19 + -12x = 6x + 1 Reorder the terms: 19 + -12x = 1 + 6x Solving 19 + -12x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 19 + -12x + -6x = 1 + 6x + -6x Combine like terms: -12x + -6x = -18x 19 + -18x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + -18x = 1 + 0 19 + -18x = 1 Add '-19' to each side of the equation. 19 + -19 + -18x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -18x = 1 + -19 -18x = 1 + -19 Combine like terms: 1 + -19 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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