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Simplifying 3(x + 2) + 4(3x + -1) = 7x + 5(2x + -1) Reorder the terms: 3(2 + x) + 4(3x + -1) = 7x + 5(2x + -1) (2 * 3 + x * 3) + 4(3x + -1) = 7x + 5(2x + -1) (6 + 3x) + 4(3x + -1) = 7x + 5(2x + -1) Reorder the terms: 6 + 3x + 4(-1 + 3x) = 7x + 5(2x + -1) 6 + 3x + (-1 * 4 + 3x * 4) = 7x + 5(2x + -1) 6 + 3x + (-4 + 12x) = 7x + 5(2x + -1) Reorder the terms: 6 + -4 + 3x + 12x = 7x + 5(2x + -1) Combine like terms: 6 + -4 = 2 2 + 3x + 12x = 7x + 5(2x + -1) Combine like terms: 3x + 12x = 15x 2 + 15x = 7x + 5(2x + -1) Reorder the terms: 2 + 15x = 7x + 5(-1 + 2x) 2 + 15x = 7x + (-1 * 5 + 2x * 5) 2 + 15x = 7x + (-5 + 10x) Reorder the terms: 2 + 15x = -5 + 7x + 10x Combine like terms: 7x + 10x = 17x 2 + 15x = -5 + 17x Solving 2 + 15x = -5 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 2 + 15x + -17x = -5 + 17x + -17x Combine like terms: 15x + -17x = -2x 2 + -2x = -5 + 17x + -17x Combine like terms: 17x + -17x = 0 2 + -2x = -5 + 0 2 + -2x = -5 Add '-2' to each side of the equation. 2 + -2 + -2x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -5 + -2 -2x = -5 + -2 Combine like terms: -5 + -2 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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