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Simplifying 2(7x + 4) = 4x + -6(2 + -6) + 7 Reorder the terms: 2(4 + 7x) = 4x + -6(2 + -6) + 7 (4 * 2 + 7x * 2) = 4x + -6(2 + -6) + 7 (8 + 14x) = 4x + -6(2 + -6) + 7 Combine like terms: 2 + -6 = -4 8 + 14x = 4x + -6(-4) + 7 Multiply -6 * -4 8 + 14x = 4x + 24 + 7 Reorder the terms: 8 + 14x = 24 + 7 + 4x Combine like terms: 24 + 7 = 31 8 + 14x = 31 + 4x Solving 8 + 14x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 14x + -4x = 31 + 4x + -4x Combine like terms: 14x + -4x = 10x 8 + 10x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 10x = 31 + 0 8 + 10x = 31 Add '-8' to each side of the equation. 8 + -8 + 10x = 31 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = 31 + -8 10x = 31 + -8 Combine like terms: 31 + -8 = 23 10x = 23 Divide each side by '10'. x = 2.3 Simplifying x = 2.3
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