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Simplifying 2(7x + 5) + -2x + -4 = 5(3x + 2) + 12 + -3 Reorder the terms: 2(5 + 7x) + -2x + -4 = 5(3x + 2) + 12 + -3 (5 * 2 + 7x * 2) + -2x + -4 = 5(3x + 2) + 12 + -3 (10 + 14x) + -2x + -4 = 5(3x + 2) + 12 + -3 Reorder the terms: 10 + -4 + 14x + -2x = 5(3x + 2) + 12 + -3 Combine like terms: 10 + -4 = 6 6 + 14x + -2x = 5(3x + 2) + 12 + -3 Combine like terms: 14x + -2x = 12x 6 + 12x = 5(3x + 2) + 12 + -3 Reorder the terms: 6 + 12x = 5(2 + 3x) + 12 + -3 6 + 12x = (2 * 5 + 3x * 5) + 12 + -3 6 + 12x = (10 + 15x) + 12 + -3 Reorder the terms: 6 + 12x = 10 + 12 + -3 + 15x Combine like terms: 10 + 12 = 22 6 + 12x = 22 + -3 + 15x Combine like terms: 22 + -3 = 19 6 + 12x = 19 + 15x Solving 6 + 12x = 19 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 12x + -15x = 19 + 15x + -15x Combine like terms: 12x + -15x = -3x 6 + -3x = 19 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -3x = 19 + 0 6 + -3x = 19 Add '-6' to each side of the equation. 6 + -6 + -3x = 19 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 19 + -6 -3x = 19 + -6 Combine like terms: 19 + -6 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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