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Simplifying (4x + -1) + 3(2x + 6) = 4x + -1 Reorder the terms: (-1 + 4x) + 3(2x + 6) = 4x + -1 Remove parenthesis around (-1 + 4x) -1 + 4x + 3(2x + 6) = 4x + -1 Reorder the terms: -1 + 4x + 3(6 + 2x) = 4x + -1 -1 + 4x + (6 * 3 + 2x * 3) = 4x + -1 -1 + 4x + (18 + 6x) = 4x + -1 Reorder the terms: -1 + 18 + 4x + 6x = 4x + -1 Combine like terms: -1 + 18 = 17 17 + 4x + 6x = 4x + -1 Combine like terms: 4x + 6x = 10x 17 + 10x = 4x + -1 Reorder the terms: 17 + 10x = -1 + 4x Solving 17 + 10x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 10x + -4x = -1 + 4x + -4x Combine like terms: 10x + -4x = 6x 17 + 6x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 6x = -1 + 0 17 + 6x = -1 Add '-17' to each side of the equation. 17 + -17 + 6x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = -1 + -17 6x = -1 + -17 Combine like terms: -1 + -17 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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