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Simplifying 2.75(x + -0.5) = 2.6x Reorder the terms: 2.75(-0.5 + x) = 2.6x (-0.5 * 2.75 + x * 2.75) = 2.6x (-1.375 + 2.75x) = 2.6x Solving -1.375 + 2.75x = 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. -1.375 + 2.75x + -2.6x = 2.6x + -2.6x Combine like terms: 2.75x + -2.6x = 0.15x -1.375 + 0.15x = 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 -1.375 + 0.15x = 0.0 Add '1.375' to each side of the equation. -1.375 + 1.375 + 0.15x = 0.0 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + 0.15x = 0.0 + 1.375 0.15x = 0.0 + 1.375 Combine like terms: 0.0 + 1.375 = 1.375 0.15x = 1.375 Divide each side by '0.15'. x = 9.166666667 Simplifying x = 9.166666667
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