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Simplifying 7x + -3(2x + 7) = 8 + -2(x + 1) Reorder the terms: 7x + -3(7 + 2x) = 8 + -2(x + 1) 7x + (7 * -3 + 2x * -3) = 8 + -2(x + 1) 7x + (-21 + -6x) = 8 + -2(x + 1) Reorder the terms: -21 + 7x + -6x = 8 + -2(x + 1) Combine like terms: 7x + -6x = 1x -21 + 1x = 8 + -2(x + 1) Reorder the terms: -21 + 1x = 8 + -2(1 + x) -21 + 1x = 8 + (1 * -2 + x * -2) -21 + 1x = 8 + (-2 + -2x) Combine like terms: 8 + -2 = 6 -21 + 1x = 6 + -2x Solving -21 + 1x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -21 + 1x + 2x = 6 + -2x + 2x Combine like terms: 1x + 2x = 3x -21 + 3x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 3x = 6 + 0 -21 + 3x = 6 Add '21' to each side of the equation. -21 + 21 + 3x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 6 + 21 3x = 6 + 21 Combine like terms: 6 + 21 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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