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Simplifying 4 + -2(3x + -6) = 12x + 7 Reorder the terms: 4 + -2(-6 + 3x) = 12x + 7 4 + (-6 * -2 + 3x * -2) = 12x + 7 4 + (12 + -6x) = 12x + 7 Combine like terms: 4 + 12 = 16 16 + -6x = 12x + 7 Reorder the terms: 16 + -6x = 7 + 12x Solving 16 + -6x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + -6x + -12x = 7 + 12x + -12x Combine like terms: -6x + -12x = -18x 16 + -18x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -18x = 7 + 0 16 + -18x = 7 Add '-16' to each side of the equation. 16 + -16 + -18x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -18x = 7 + -16 -18x = 7 + -16 Combine like terms: 7 + -16 = -9 -18x = -9 Divide each side by '-18'. x = 0.5 Simplifying x = 0.5
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