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Simplifying 5x + 7(x + -1) = 14 + -1x Reorder the terms: 5x + 7(-1 + x) = 14 + -1x 5x + (-1 * 7 + x * 7) = 14 + -1x 5x + (-7 + 7x) = 14 + -1x Reorder the terms: -7 + 5x + 7x = 14 + -1x Combine like terms: 5x + 7x = 12x -7 + 12x = 14 + -1x Solving -7 + 12x = 14 + -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. -7 + 12x + x = 14 + -1x + x Combine like terms: 12x + x = 13x -7 + 13x = 14 + -1x + x Combine like terms: -1x + x = 0 -7 + 13x = 14 + 0 -7 + 13x = 14 Add '7' to each side of the equation. -7 + 7 + 13x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 14 + 7 13x = 14 + 7 Combine like terms: 14 + 7 = 21 13x = 21 Divide each side by '13'. x = 1.615384615 Simplifying x = 1.615384615
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