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Simplifying 6 + 3(2x + -4) + -3(4x + 3) + -6 = 0 Reorder the terms: 6 + 3(-4 + 2x) + -3(4x + 3) + -6 = 0 6 + (-4 * 3 + 2x * 3) + -3(4x + 3) + -6 = 0 6 + (-12 + 6x) + -3(4x + 3) + -6 = 0 Reorder the terms: 6 + -12 + 6x + -3(3 + 4x) + -6 = 0 6 + -12 + 6x + (3 * -3 + 4x * -3) + -6 = 0 6 + -12 + 6x + (-9 + -12x) + -6 = 0 Reorder the terms: 6 + -12 + -9 + -6 + 6x + -12x = 0 Combine like terms: 6 + -12 = -6 -6 + -9 + -6 + 6x + -12x = 0 Combine like terms: -6 + -9 = -15 -15 + -6 + 6x + -12x = 0 Combine like terms: -15 + -6 = -21 -21 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -21 + -6x = 0 Solving -21 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -6x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = 0 + 21 -6x = 0 + 21 Combine like terms: 0 + 21 = 21 -6x = 21 Divide each side by '-6'. x = -3.5 Simplifying x = -3.5
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