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Simplifying x + 2(3x + -6) = x + 1(3x + -4) Reorder the terms: x + 2(-6 + 3x) = x + 1(3x + -4) x + (-6 * 2 + 3x * 2) = x + 1(3x + -4) x + (-12 + 6x) = x + 1(3x + -4) Reorder the terms: -12 + x + 6x = x + 1(3x + -4) Combine like terms: x + 6x = 7x -12 + 7x = x + 1(3x + -4) Reorder the terms: -12 + 7x = x + 1(-4 + 3x) -12 + 7x = x + (-4 * 1 + 3x * 1) -12 + 7x = x + (-4 + 3x) Reorder the terms: -12 + 7x = -4 + x + 3x Combine like terms: x + 3x = 4x -12 + 7x = -4 + 4x Solving -12 + 7x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 7x + -4x = -4 + 4x + -4x Combine like terms: 7x + -4x = 3x -12 + 3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 3x = -4 + 0 -12 + 3x = -4 Add '12' to each side of the equation. -12 + 12 + 3x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -4 + 12 3x = -4 + 12 Combine like terms: -4 + 12 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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