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Simplifying 15x + -14 = 6(x + 2) + -1(3 + -1x) Reorder the terms: -14 + 15x = 6(x + 2) + -1(3 + -1x) Reorder the terms: -14 + 15x = 6(2 + x) + -1(3 + -1x) -14 + 15x = (2 * 6 + x * 6) + -1(3 + -1x) -14 + 15x = (12 + 6x) + -1(3 + -1x) -14 + 15x = 12 + 6x + (3 * -1 + -1x * -1) -14 + 15x = 12 + 6x + (-3 + 1x) Reorder the terms: -14 + 15x = 12 + -3 + 6x + 1x Combine like terms: 12 + -3 = 9 -14 + 15x = 9 + 6x + 1x Combine like terms: 6x + 1x = 7x -14 + 15x = 9 + 7x Solving -14 + 15x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + 15x + -7x = 9 + 7x + -7x Combine like terms: 15x + -7x = 8x -14 + 8x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 8x = 9 + 0 -14 + 8x = 9 Add '14' to each side of the equation. -14 + 14 + 8x = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 9 + 14 8x = 9 + 14 Combine like terms: 9 + 14 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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