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Simplifying 7x + -2(x + -3) = 5(x + 1) + 3(7 + -4x) Reorder the terms: 7x + -2(-3 + x) = 5(x + 1) + 3(7 + -4x) 7x + (-3 * -2 + x * -2) = 5(x + 1) + 3(7 + -4x) 7x + (6 + -2x) = 5(x + 1) + 3(7 + -4x) Reorder the terms: 6 + 7x + -2x = 5(x + 1) + 3(7 + -4x) Combine like terms: 7x + -2x = 5x 6 + 5x = 5(x + 1) + 3(7 + -4x) Reorder the terms: 6 + 5x = 5(1 + x) + 3(7 + -4x) 6 + 5x = (1 * 5 + x * 5) + 3(7 + -4x) 6 + 5x = (5 + 5x) + 3(7 + -4x) 6 + 5x = 5 + 5x + (7 * 3 + -4x * 3) 6 + 5x = 5 + 5x + (21 + -12x) Reorder the terms: 6 + 5x = 5 + 21 + 5x + -12x Combine like terms: 5 + 21 = 26 6 + 5x = 26 + 5x + -12x Combine like terms: 5x + -12x = -7x 6 + 5x = 26 + -7x Solving 6 + 5x = 26 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 5x + 7x = 26 + -7x + 7x Combine like terms: 5x + 7x = 12x 6 + 12x = 26 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 12x = 26 + 0 6 + 12x = 26 Add '-6' to each side of the equation. 6 + -6 + 12x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 26 + -6 12x = 26 + -6 Combine like terms: 26 + -6 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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