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Simplifying 2(7x + 4) = 4x + -6(2x + -4) + 7 Reorder the terms: 2(4 + 7x) = 4x + -6(2x + -4) + 7 (4 * 2 + 7x * 2) = 4x + -6(2x + -4) + 7 (8 + 14x) = 4x + -6(2x + -4) + 7 Reorder the terms: 8 + 14x = 4x + -6(-4 + 2x) + 7 8 + 14x = 4x + (-4 * -6 + 2x * -6) + 7 8 + 14x = 4x + (24 + -12x) + 7 Reorder the terms: 8 + 14x = 24 + 7 + 4x + -12x Combine like terms: 24 + 7 = 31 8 + 14x = 31 + 4x + -12x Combine like terms: 4x + -12x = -8x 8 + 14x = 31 + -8x Solving 8 + 14x = 31 + -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 + 14x + 8x = 31 + -8x + 8x Combine like terms: 14x + 8x = 22x 8 + 22x = 31 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 22x = 31 + 0 8 + 22x = 31 Add '-8' to each side of the equation. 8 + -8 + 22x = 31 + -8 Combine like terms: 8 + -8 = 0 0 + 22x = 31 + -8 22x = 31 + -8 Combine like terms: 31 + -8 = 23 22x = 23 Divide each side by '22'. x = 1.045454545 Simplifying x = 1.045454545
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