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Simplifying 12 + -1(82x + 23) = (-2x + 62) Reorder the terms: 12 + -1(23 + 82x) = (-2x + 62) 12 + (23 * -1 + 82x * -1) = (-2x + 62) 12 + (-23 + -82x) = (-2x + 62) Combine like terms: 12 + -23 = -11 -11 + -82x = (-2x + 62) Reorder the terms: -11 + -82x = (62 + -2x) Remove parenthesis around (62 + -2x) -11 + -82x = 62 + -2x Solving -11 + -82x = 62 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -11 + -82x + 2x = 62 + -2x + 2x Combine like terms: -82x + 2x = -80x -11 + -80x = 62 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + -80x = 62 + 0 -11 + -80x = 62 Add '11' to each side of the equation. -11 + 11 + -80x = 62 + 11 Combine like terms: -11 + 11 = 0 0 + -80x = 62 + 11 -80x = 62 + 11 Combine like terms: 62 + 11 = 73 -80x = 73 Divide each side by '-80'. x = -0.9125 Simplifying x = -0.9125
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