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Simplifying 1.80(x + -5.90) = 7.60(x + -1.0) Reorder the terms: 1.80(-5.90 + x) = 7.60(x + -1.0) (-5.90 * 1.80 + x * 1.80) = 7.60(x + -1.0) (-10.62 + 1.80x) = 7.60(x + -1.0) Reorder the terms: -10.62 + 1.80x = 7.60(-1.0 + x) -10.62 + 1.80x = (-1.0 * 7.60 + x * 7.60) -10.62 + 1.80x = (-7.6 + 7.60x) Solving -10.62 + 1.80x = -7.6 + 7.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.60x' to each side of the equation. -10.62 + 1.80x + -7.60x = -7.6 + 7.60x + -7.60x Combine like terms: 1.80x + -7.60x = -5.8x -10.62 + -5.8x = -7.6 + 7.60x + -7.60x Combine like terms: 7.60x + -7.60x = 0.00 -10.62 + -5.8x = -7.6 + 0.00 -10.62 + -5.8x = -7.6 Add '10.62' to each side of the equation. -10.62 + 10.62 + -5.8x = -7.6 + 10.62 Combine like terms: -10.62 + 10.62 = 0.00 0.00 + -5.8x = -7.6 + 10.62 -5.8x = -7.6 + 10.62 Combine like terms: -7.6 + 10.62 = 3.02 -5.8x = 3.02 Divide each side by '-5.8'. x = -0.5206896552 Simplifying x = -0.5206896552
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