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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 = -10 -10 + 3x + 12x = 7x + 5(2x + -1) Combine like terms: 3x + 12x = 15x -10 + 15x = 7x + 5(2x + -1) Reorder the terms: -10 + 15x = 7x + 5(-1 + 2x) -10 + 15x = 7x + (-1 * 5 + 2x * 5) -10 + 15x = 7x + (-5 + 10x) Reorder the terms: -10 + 15x = -5 + 7x + 10x Combine like terms: 7x + 10x = 17x -10 + 15x = -5 + 17x Solving -10 + 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. -10 + 15x + -17x = -5 + 17x + -17x Combine like terms: 15x + -17x = -2x -10 + -2x = -5 + 17x + -17x Combine like terms: 17x + -17x = 0 -10 + -2x = -5 + 0 -10 + -2x = -5 Add '10' to each side of the equation. -10 + 10 + -2x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -5 + 10 -2x = -5 + 10 Combine like terms: -5 + 10 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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