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Simplifying 0.25(9x + -1) + 2 = (2x + -5) + 1 Reorder the terms: 0.25(-1 + 9x) + 2 = (2x + -5) + 1 (-1 * 0.25 + 9x * 0.25) + 2 = (2x + -5) + 1 (-0.25 + 2.25x) + 2 = (2x + -5) + 1 Reorder the terms: -0.25 + 2 + 2.25x = (2x + -5) + 1 Combine like terms: -0.25 + 2 = 1.75 1.75 + 2.25x = (2x + -5) + 1 Reorder the terms: 1.75 + 2.25x = (-5 + 2x) + 1 Remove parenthesis around (-5 + 2x) 1.75 + 2.25x = -5 + 2x + 1 Reorder the terms: 1.75 + 2.25x = -5 + 1 + 2x Combine like terms: -5 + 1 = -4 1.75 + 2.25x = -4 + 2x Solving 1.75 + 2.25x = -4 + 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. 1.75 + 2.25x + -2x = -4 + 2x + -2x Combine like terms: 2.25x + -2x = 0.25x 1.75 + 0.25x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 1.75 + 0.25x = -4 + 0 1.75 + 0.25x = -4 Add '-1.75' to each side of the equation. 1.75 + -1.75 + 0.25x = -4 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 0.25x = -4 + -1.75 0.25x = -4 + -1.75 Combine like terms: -4 + -1.75 = -5.75 0.25x = -5.75 Divide each side by '0.25'. x = -23 Simplifying x = -23
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