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Simplifying 12(19 + -3x) = 6(3x + -16) (19 * 12 + -3x * 12) = 6(3x + -16) (228 + -36x) = 6(3x + -16) Reorder the terms: 228 + -36x = 6(-16 + 3x) 228 + -36x = (-16 * 6 + 3x * 6) 228 + -36x = (-96 + 18x) Solving 228 + -36x = -96 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 228 + -36x + -18x = -96 + 18x + -18x Combine like terms: -36x + -18x = -54x 228 + -54x = -96 + 18x + -18x Combine like terms: 18x + -18x = 0 228 + -54x = -96 + 0 228 + -54x = -96 Add '-228' to each side of the equation. 228 + -228 + -54x = -96 + -228 Combine like terms: 228 + -228 = 0 0 + -54x = -96 + -228 -54x = -96 + -228 Combine like terms: -96 + -228 = -324 -54x = -324 Divide each side by '-54'. x = 6 Simplifying x = 6
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