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Simplifying 6x + 8 = -2(4x + -7) Reorder the terms: 8 + 6x = -2(4x + -7) Reorder the terms: 8 + 6x = -2(-7 + 4x) 8 + 6x = (-7 * -2 + 4x * -2) 8 + 6x = (14 + -8x) Solving 8 + 6x = 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. 8 + 6x + 8x = 14 + -8x + 8x Combine like terms: 6x + 8x = 14x 8 + 14x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 14x = 14 + 0 8 + 14x = 14 Add '-8' to each side of the equation. 8 + -8 + 14x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 14 + -8 14x = 14 + -8 Combine like terms: 14 + -8 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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