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Simplifying 3(5 + 4x) = 7 + -6 + 8x (5 * 3 + 4x * 3) = 7 + -6 + 8x (15 + 12x) = 7 + -6 + 8x Combine like terms: 7 + -6 = 1 15 + 12x = 1 + 8x Solving 15 + 12x = 1 + 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. 15 + 12x + -8x = 1 + 8x + -8x Combine like terms: 12x + -8x = 4x 15 + 4x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + 4x = 1 + 0 15 + 4x = 1 Add '-15' to each side of the equation. 15 + -15 + 4x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 1 + -15 4x = 1 + -15 Combine like terms: 1 + -15 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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