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Simplifying 8x + -3(2x + 7) = 5 + -1(x + 2) Reorder the terms: 8x + -3(7 + 2x) = 5 + -1(x + 2) 8x + (7 * -3 + 2x * -3) = 5 + -1(x + 2) 8x + (-21 + -6x) = 5 + -1(x + 2) Reorder the terms: -21 + 8x + -6x = 5 + -1(x + 2) Combine like terms: 8x + -6x = 2x -21 + 2x = 5 + -1(x + 2) Reorder the terms: -21 + 2x = 5 + -1(2 + x) -21 + 2x = 5 + (2 * -1 + x * -1) -21 + 2x = 5 + (-2 + -1x) Combine like terms: 5 + -2 = 3 -21 + 2x = 3 + -1x Solving -21 + 2x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + 2x + x = 3 + -1x + x Combine like terms: 2x + x = 3x -21 + 3x = 3 + -1x + x Combine like terms: -1x + x = 0 -21 + 3x = 3 + 0 -21 + 3x = 3 Add '21' to each side of the equation. -21 + 21 + 3x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 3 + 21 3x = 3 + 21 Combine like terms: 3 + 21 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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