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