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Simplifying -8 + 3x = 4x + -1(5 + -2x + 2) Reorder the terms: -8 + 3x = 4x + -1(5 + 2 + -2x) Combine like terms: 5 + 2 = 7 -8 + 3x = 4x + -1(7 + -2x) -8 + 3x = 4x + (7 * -1 + -2x * -1) -8 + 3x = 4x + (-7 + 2x) Reorder the terms: -8 + 3x = -7 + 4x + 2x Combine like terms: 4x + 2x = 6x -8 + 3x = -7 + 6x Solving -8 + 3x = -7 + 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. -8 + 3x + -6x = -7 + 6x + -6x Combine like terms: 3x + -6x = -3x -8 + -3x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -3x = -7 + 0 -8 + -3x = -7 Add '8' to each side of the equation. -8 + 8 + -3x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -7 + 8 -3x = -7 + 8 Combine like terms: -7 + 8 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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