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Simplifying 3(x + -4) + -2(3x + -6) = 2x + -1(7x + -1) Reorder the terms: 3(-4 + x) + -2(3x + -6) = 2x + -1(7x + -1) (-4 * 3 + x * 3) + -2(3x + -6) = 2x + -1(7x + -1) (-12 + 3x) + -2(3x + -6) = 2x + -1(7x + -1) Reorder the terms: -12 + 3x + -2(-6 + 3x) = 2x + -1(7x + -1) -12 + 3x + (-6 * -2 + 3x * -2) = 2x + -1(7x + -1) -12 + 3x + (12 + -6x) = 2x + -1(7x + -1) Reorder the terms: -12 + 12 + 3x + -6x = 2x + -1(7x + -1) Combine like terms: -12 + 12 = 0 0 + 3x + -6x = 2x + -1(7x + -1) 3x + -6x = 2x + -1(7x + -1) Combine like terms: 3x + -6x = -3x -3x = 2x + -1(7x + -1) Reorder the terms: -3x = 2x + -1(-1 + 7x) -3x = 2x + (-1 * -1 + 7x * -1) -3x = 2x + (1 + -7x) Reorder the terms: -3x = 1 + 2x + -7x Combine like terms: 2x + -7x = -5x -3x = 1 + -5x Solving -3x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3x + 5x = 1 + -5x + 5x Combine like terms: -3x + 5x = 2x 2x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 2x = 1 + 0 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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