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Simplifying 12x + 7(x + -3) + 4(2 + -6x) = 0 Reorder the terms: 12x + 7(-3 + x) + 4(2 + -6x) = 0 12x + (-3 * 7 + x * 7) + 4(2 + -6x) = 0 12x + (-21 + 7x) + 4(2 + -6x) = 0 12x + -21 + 7x + (2 * 4 + -6x * 4) = 0 12x + -21 + 7x + (8 + -24x) = 0 Reorder the terms: -21 + 8 + 12x + 7x + -24x = 0 Combine like terms: -21 + 8 = -13 -13 + 12x + 7x + -24x = 0 Combine like terms: 12x + 7x = 19x -13 + 19x + -24x = 0 Combine like terms: 19x + -24x = -5x -13 + -5x = 0 Solving -13 + -5x = 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 + -5x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 0 + 13 -5x = 0 + 13 Combine like terms: 0 + 13 = 13 -5x = 13 Divide each side by '-5'. x = -2.6 Simplifying x = -2.6
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