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Simplifying 2(7x + 4) = 4x + -6(2x) + 7 Reorder the terms: 2(4 + 7x) = 4x + -6(2x) + 7 (4 * 2 + 7x * 2) = 4x + -6(2x) + 7 (8 + 14x) = 4x + -6(2x) + 7 Remove parenthesis around (2x) 8 + 14x = 4x + -6 * 2x + 7 Multiply -6 * 2 8 + 14x = 4x + -12x + 7 Reorder the terms: 8 + 14x = 7 + 4x + -12x Combine like terms: 4x + -12x = -8x 8 + 14x = 7 + -8x Solving 8 + 14x = 7 + -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 = 7 + -8x + 8x Combine like terms: 14x + 8x = 22x 8 + 22x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 22x = 7 + 0 8 + 22x = 7 Add '-8' to each side of the equation. 8 + -8 + 22x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 22x = 7 + -8 22x = 7 + -8 Combine like terms: 7 + -8 = -1 22x = -1 Divide each side by '22'. x = -0.04545454545 Simplifying x = -0.04545454545
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