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Simplifying 3(x + -1) + -4(x + -2) + -6(2x + 3) = 0 Reorder the terms: 3(-1 + x) + -4(x + -2) + -6(2x + 3) = 0 (-1 * 3 + x * 3) + -4(x + -2) + -6(2x + 3) = 0 (-3 + 3x) + -4(x + -2) + -6(2x + 3) = 0 Reorder the terms: -3 + 3x + -4(-2 + x) + -6(2x + 3) = 0 -3 + 3x + (-2 * -4 + x * -4) + -6(2x + 3) = 0 -3 + 3x + (8 + -4x) + -6(2x + 3) = 0 Reorder the terms: -3 + 3x + 8 + -4x + -6(3 + 2x) = 0 -3 + 3x + 8 + -4x + (3 * -6 + 2x * -6) = 0 -3 + 3x + 8 + -4x + (-18 + -12x) = 0 Reorder the terms: -3 + 8 + -18 + 3x + -4x + -12x = 0 Combine like terms: -3 + 8 = 5 5 + -18 + 3x + -4x + -12x = 0 Combine like terms: 5 + -18 = -13 -13 + 3x + -4x + -12x = 0 Combine like terms: 3x + -4x = -1x -13 + -1x + -12x = 0 Combine like terms: -1x + -12x = -13x -13 + -13x = 0 Solving -13 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -13x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -13x = 0 + 13 -13x = 0 + 13 Combine like terms: 0 + 13 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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