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Simplifying 2 + -3(x + 7) = -6(2x + 1) Reorder the terms: 2 + -3(7 + x) = -6(2x + 1) 2 + (7 * -3 + x * -3) = -6(2x + 1) 2 + (-21 + -3x) = -6(2x + 1) Combine like terms: 2 + -21 = -19 -19 + -3x = -6(2x + 1) Reorder the terms: -19 + -3x = -6(1 + 2x) -19 + -3x = (1 * -6 + 2x * -6) -19 + -3x = (-6 + -12x) Solving -19 + -3x = -6 + -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. -19 + -3x + 12x = -6 + -12x + 12x Combine like terms: -3x + 12x = 9x -19 + 9x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 -19 + 9x = -6 + 0 -19 + 9x = -6 Add '19' to each side of the equation. -19 + 19 + 9x = -6 + 19 Combine like terms: -19 + 19 = 0 0 + 9x = -6 + 19 9x = -6 + 19 Combine like terms: -6 + 19 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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