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Simplifying 3 + 3(1 + -2x) + -6 = 2(x + -1) + -4(3x + -2) 3 + (1 * 3 + -2x * 3) + -6 = 2(x + -1) + -4(3x + -2) 3 + (3 + -6x) + -6 = 2(x + -1) + -4(3x + -2) Reorder the terms: 3 + 3 + -6 + -6x = 2(x + -1) + -4(3x + -2) Combine like terms: 3 + 3 = 6 6 + -6 + -6x = 2(x + -1) + -4(3x + -2) Combine like terms: 6 + -6 = 0 0 + -6x = 2(x + -1) + -4(3x + -2) -6x = 2(x + -1) + -4(3x + -2) Reorder the terms: -6x = 2(-1 + x) + -4(3x + -2) -6x = (-1 * 2 + x * 2) + -4(3x + -2) -6x = (-2 + 2x) + -4(3x + -2) Reorder the terms: -6x = -2 + 2x + -4(-2 + 3x) -6x = -2 + 2x + (-2 * -4 + 3x * -4) -6x = -2 + 2x + (8 + -12x) Reorder the terms: -6x = -2 + 8 + 2x + -12x Combine like terms: -2 + 8 = 6 -6x = 6 + 2x + -12x Combine like terms: 2x + -12x = -10x -6x = 6 + -10x Solving -6x = 6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6x + 10x = 6 + -10x + 10x Combine like terms: -6x + 10x = 4x 4x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 4x = 6 + 0 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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