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Simplifying 35(x + -1) + 125x + 3(x + 2) = 1148 Reorder the terms: 35(-1 + x) + 125x + 3(x + 2) = 1148 (-1 * 35 + x * 35) + 125x + 3(x + 2) = 1148 (-35 + 35x) + 125x + 3(x + 2) = 1148 Reorder the terms: -35 + 35x + 125x + 3(2 + x) = 1148 -35 + 35x + 125x + (2 * 3 + x * 3) = 1148 -35 + 35x + 125x + (6 + 3x) = 1148 Reorder the terms: -35 + 6 + 35x + 125x + 3x = 1148 Combine like terms: -35 + 6 = -29 -29 + 35x + 125x + 3x = 1148 Combine like terms: 35x + 125x = 160x -29 + 160x + 3x = 1148 Combine like terms: 160x + 3x = 163x -29 + 163x = 1148 Solving -29 + 163x = 1148 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 163x = 1148 + 29 Combine like terms: -29 + 29 = 0 0 + 163x = 1148 + 29 163x = 1148 + 29 Combine like terms: 1148 + 29 = 1177 163x = 1177 Divide each side by '163'. x = 7.220858896 Simplifying x = 7.220858896
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