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Simplifying 6(x + 3) + 4(-3x + 4) = -2 Reorder the terms: 6(3 + x) + 4(-3x + 4) = -2 (3 * 6 + x * 6) + 4(-3x + 4) = -2 (18 + 6x) + 4(-3x + 4) = -2 Reorder the terms: 18 + 6x + 4(4 + -3x) = -2 18 + 6x + (4 * 4 + -3x * 4) = -2 18 + 6x + (16 + -12x) = -2 Reorder the terms: 18 + 16 + 6x + -12x = -2 Combine like terms: 18 + 16 = 34 34 + 6x + -12x = -2 Combine like terms: 6x + -12x = -6x 34 + -6x = -2 Solving 34 + -6x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -6x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -6x = -2 + -34 -6x = -2 + -34 Combine like terms: -2 + -34 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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