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Simplifying 8 + -1x + 14 = -2(4x + -7) Reorder the terms: 8 + 14 + -1x = -2(4x + -7) Combine like terms: 8 + 14 = 22 22 + -1x = -2(4x + -7) Reorder the terms: 22 + -1x = -2(-7 + 4x) 22 + -1x = (-7 * -2 + 4x * -2) 22 + -1x = (14 + -8x) Solving 22 + -1x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 22 + -1x + 8x = 14 + -8x + 8x Combine like terms: -1x + 8x = 7x 22 + 7x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 22 + 7x = 14 + 0 22 + 7x = 14 Add '-22' to each side of the equation. 22 + -22 + 7x = 14 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 14 + -22 7x = 14 + -22 Combine like terms: 14 + -22 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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