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Simplifying 6(3x + 2) = 12 + -6(x + 2) Reorder the terms: 6(2 + 3x) = 12 + -6(x + 2) (2 * 6 + 3x * 6) = 12 + -6(x + 2) (12 + 18x) = 12 + -6(x + 2) Reorder the terms: 12 + 18x = 12 + -6(2 + x) 12 + 18x = 12 + (2 * -6 + x * -6) 12 + 18x = 12 + (-12 + -6x) Combine like terms: 12 + -12 = 0 12 + 18x = 0 + -6x 12 + 18x = -6x Solving 12 + 18x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + 18x + 6x = -6x + 6x Combine like terms: 18x + 6x = 24x 12 + 24x = -6x + 6x Combine like terms: -6x + 6x = 0 12 + 24x = 0 Add '-12' to each side of the equation. 12 + -12 + 24x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = 0 + -12 24x = 0 + -12 Combine like terms: 0 + -12 = -12 24x = -12 Divide each side by '24'. x = -0.5 Simplifying x = -0.5
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