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Simplifying 5x + 2(-7 + 3x) = 1 + -1x 5x + (-7 * 2 + 3x * 2) = 1 + -1x 5x + (-14 + 6x) = 1 + -1x Reorder the terms: -14 + 5x + 6x = 1 + -1x Combine like terms: 5x + 6x = 11x -14 + 11x = 1 + -1x Solving -14 + 11x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -14 + 11x + x = 1 + -1x + x Combine like terms: 11x + x = 12x -14 + 12x = 1 + -1x + x Combine like terms: -1x + x = 0 -14 + 12x = 1 + 0 -14 + 12x = 1 Add '14' to each side of the equation. -14 + 14 + 12x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 1 + 14 12x = 1 + 14 Combine like terms: 1 + 14 = 15 12x = 15 Divide each side by '12'. x = 1.25 Simplifying x = 1.25
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