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Simplifying 2 + 7(x + -3) = 6 + -4(x + -2) Reorder the terms: 2 + 7(-3 + x) = 6 + -4(x + -2) 2 + (-3 * 7 + x * 7) = 6 + -4(x + -2) 2 + (-21 + 7x) = 6 + -4(x + -2) Combine like terms: 2 + -21 = -19 -19 + 7x = 6 + -4(x + -2) Reorder the terms: -19 + 7x = 6 + -4(-2 + x) -19 + 7x = 6 + (-2 * -4 + x * -4) -19 + 7x = 6 + (8 + -4x) Combine like terms: 6 + 8 = 14 -19 + 7x = 14 + -4x Solving -19 + 7x = 14 + -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. -19 + 7x + 4x = 14 + -4x + 4x Combine like terms: 7x + 4x = 11x -19 + 11x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -19 + 11x = 14 + 0 -19 + 11x = 14 Add '19' to each side of the equation. -19 + 19 + 11x = 14 + 19 Combine like terms: -19 + 19 = 0 0 + 11x = 14 + 19 11x = 14 + 19 Combine like terms: 14 + 19 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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