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Simplifying (x + -3) + 1.25(x + -3) = 2x + 2 Reorder the terms: (-3 + x) + 1.25(x + -3) = 2x + 2 Remove parenthesis around (-3 + x) -3 + x + 1.25(x + -3) = 2x + 2 Reorder the terms: -3 + x + 1.25(-3 + x) = 2x + 2 -3 + x + (-3 * 1.25 + x * 1.25) = 2x + 2 -3 + x + (-3.75 + 1.25x) = 2x + 2 Reorder the terms: -3 + -3.75 + x + 1.25x = 2x + 2 Combine like terms: -3 + -3.75 = -6.75 -6.75 + x + 1.25x = 2x + 2 Combine like terms: x + 1.25x = 2.25x -6.75 + 2.25x = 2x + 2 Reorder the terms: -6.75 + 2.25x = 2 + 2x Solving -6.75 + 2.25x = 2 + 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. -6.75 + 2.25x + -2x = 2 + 2x + -2x Combine like terms: 2.25x + -2x = 0.25x -6.75 + 0.25x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6.75 + 0.25x = 2 + 0 -6.75 + 0.25x = 2 Add '6.75' to each side of the equation. -6.75 + 6.75 + 0.25x = 2 + 6.75 Combine like terms: -6.75 + 6.75 = 0.00 0.00 + 0.25x = 2 + 6.75 0.25x = 2 + 6.75 Combine like terms: 2 + 6.75 = 8.75 0.25x = 8.75 Divide each side by '0.25'. x = 35 Simplifying x = 35
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