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Simplifying (4x + -2) + 3(2x + 7) = 6x + -1 Reorder the terms: (-2 + 4x) + 3(2x + 7) = 6x + -1 Remove parenthesis around (-2 + 4x) -2 + 4x + 3(2x + 7) = 6x + -1 Reorder the terms: -2 + 4x + 3(7 + 2x) = 6x + -1 -2 + 4x + (7 * 3 + 2x * 3) = 6x + -1 -2 + 4x + (21 + 6x) = 6x + -1 Reorder the terms: -2 + 21 + 4x + 6x = 6x + -1 Combine like terms: -2 + 21 = 19 19 + 4x + 6x = 6x + -1 Combine like terms: 4x + 6x = 10x 19 + 10x = 6x + -1 Reorder the terms: 19 + 10x = -1 + 6x Solving 19 + 10x = -1 + 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. 19 + 10x + -6x = -1 + 6x + -6x Combine like terms: 10x + -6x = 4x 19 + 4x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + 4x = -1 + 0 19 + 4x = -1 Add '-19' to each side of the equation. 19 + -19 + 4x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = -1 + -19 4x = -1 + -19 Combine like terms: -1 + -19 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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