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Simplifying -3(2x + 7) + (6 + -5x) + -8(1 + -2x) = (x + -3) Reorder the terms: -3(7 + 2x) + (6 + -5x) + -8(1 + -2x) = (x + -3) (7 * -3 + 2x * -3) + (6 + -5x) + -8(1 + -2x) = (x + -3) (-21 + -6x) + (6 + -5x) + -8(1 + -2x) = (x + -3) Remove parenthesis around (6 + -5x) -21 + -6x + 6 + -5x + -8(1 + -2x) = (x + -3) -21 + -6x + 6 + -5x + (1 * -8 + -2x * -8) = (x + -3) -21 + -6x + 6 + -5x + (-8 + 16x) = (x + -3) Reorder the terms: -21 + 6 + -8 + -6x + -5x + 16x = (x + -3) Combine like terms: -21 + 6 = -15 -15 + -8 + -6x + -5x + 16x = (x + -3) Combine like terms: -15 + -8 = -23 -23 + -6x + -5x + 16x = (x + -3) Combine like terms: -6x + -5x = -11x -23 + -11x + 16x = (x + -3) Combine like terms: -11x + 16x = 5x -23 + 5x = (x + -3) Reorder the terms: -23 + 5x = (-3 + x) Remove parenthesis around (-3 + x) -23 + 5x = -3 + x Solving -23 + 5x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -23 + 5x + -1x = -3 + x + -1x Combine like terms: 5x + -1x = 4x -23 + 4x = -3 + x + -1x Combine like terms: x + -1x = 0 -23 + 4x = -3 + 0 -23 + 4x = -3 Add '23' to each side of the equation. -23 + 23 + 4x = -3 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = -3 + 23 4x = -3 + 23 Combine like terms: -3 + 23 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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