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Simplifying 7 + -3(4x + -8) = 2x + 6 Reorder the terms: 7 + -3(-8 + 4x) = 2x + 6 7 + (-8 * -3 + 4x * -3) = 2x + 6 7 + (24 + -12x) = 2x + 6 Combine like terms: 7 + 24 = 31 31 + -12x = 2x + 6 Reorder the terms: 31 + -12x = 6 + 2x Solving 31 + -12x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 31 + -12x + -2x = 6 + 2x + -2x Combine like terms: -12x + -2x = -14x 31 + -14x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -14x = 6 + 0 31 + -14x = 6 Add '-31' to each side of the equation. 31 + -31 + -14x = 6 + -31 Combine like terms: 31 + -31 = 0 0 + -14x = 6 + -31 -14x = 6 + -31 Combine like terms: 6 + -31 = -25 -14x = -25 Divide each side by '-14'. x = 1.785714286 Simplifying x = 1.785714286
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