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Simplifying 2(5x + -7 + 7(x + 1)) = 2x + -4 Reorder the terms: 2(5x + -7 + 7(1 + x)) = 2x + -4 2(5x + -7 + (1 * 7 + x * 7)) = 2x + -4 2(5x + -7 + (7 + 7x)) = 2x + -4 Reorder the terms: 2(-7 + 7 + 5x + 7x) = 2x + -4 Combine like terms: -7 + 7 = 0 2(0 + 5x + 7x) = 2x + -4 2(5x + 7x) = 2x + -4 Combine like terms: 5x + 7x = 12x 2(12x) = 2x + -4 Remove parenthesis around (12x) 2 * 12x = 2x + -4 Multiply 2 * 12 24x = 2x + -4 Reorder the terms: 24x = -4 + 2x Solving 24x = -4 + 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. 24x + -2x = -4 + 2x + -2x Combine like terms: 24x + -2x = 22x 22x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 22x = -4 + 0 22x = -4 Divide each side by '22'. x = -0.1818181818 Simplifying x = -0.1818181818
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