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Simplifying (4x + -1) + 3(2x + 6) = 6x + -3 Reorder the terms: (-1 + 4x) + 3(2x + 6) = 6x + -3 Remove parenthesis around (-1 + 4x) -1 + 4x + 3(2x + 6) = 6x + -3 Reorder the terms: -1 + 4x + 3(6 + 2x) = 6x + -3 -1 + 4x + (6 * 3 + 2x * 3) = 6x + -3 -1 + 4x + (18 + 6x) = 6x + -3 Reorder the terms: -1 + 18 + 4x + 6x = 6x + -3 Combine like terms: -1 + 18 = 17 17 + 4x + 6x = 6x + -3 Combine like terms: 4x + 6x = 10x 17 + 10x = 6x + -3 Reorder the terms: 17 + 10x = -3 + 6x Solving 17 + 10x = -3 + 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. 17 + 10x + -6x = -3 + 6x + -6x Combine like terms: 10x + -6x = 4x 17 + 4x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 4x = -3 + 0 17 + 4x = -3 Add '-17' to each side of the equation. 17 + -17 + 4x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = -3 + -17 4x = -3 + -17 Combine like terms: -3 + -17 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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