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Simplifying x + -1(8 + -1x) = (6x + 3) + -42 x + (8 * -1 + -1x * -1) = (6x + 3) + -42 x + (-8 + 1x) = (6x + 3) + -42 Reorder the terms: -8 + x + 1x = (6x + 3) + -42 Combine like terms: x + 1x = 2x -8 + 2x = (6x + 3) + -42 Reorder the terms: -8 + 2x = (3 + 6x) + -42 Remove parenthesis around (3 + 6x) -8 + 2x = 3 + 6x + -42 Reorder the terms: -8 + 2x = 3 + -42 + 6x Combine like terms: 3 + -42 = -39 -8 + 2x = -39 + 6x Solving -8 + 2x = -39 + 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 + 2x + -6x = -39 + 6x + -6x Combine like terms: 2x + -6x = -4x -8 + -4x = -39 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -4x = -39 + 0 -8 + -4x = -39 Add '8' to each side of the equation. -8 + 8 + -4x = -39 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -39 + 8 -4x = -39 + 8 Combine like terms: -39 + 8 = -31 -4x = -31 Divide each side by '-4'. x = 7.75 Simplifying x = 7.75
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