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Simplifying 1.56(x + -1) = 0.5(3x + -1) + -1 Reorder the terms: 1.56(-1 + x) = 0.5(3x + -1) + -1 (-1 * 1.56 + x * 1.56) = 0.5(3x + -1) + -1 (-1.56 + 1.56x) = 0.5(3x + -1) + -1 Reorder the terms: -1.56 + 1.56x = 0.5(-1 + 3x) + -1 -1.56 + 1.56x = (-1 * 0.5 + 3x * 0.5) + -1 -1.56 + 1.56x = (-0.5 + 1.5x) + -1 Reorder the terms: -1.56 + 1.56x = -0.5 + -1 + 1.5x Combine like terms: -0.5 + -1 = -1.5 -1.56 + 1.56x = -1.5 + 1.5x Solving -1.56 + 1.56x = -1.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -1.56 + 1.56x + -1.5x = -1.5 + 1.5x + -1.5x Combine like terms: 1.56x + -1.5x = 0.06x -1.56 + 0.06x = -1.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -1.56 + 0.06x = -1.5 + 0.0 -1.56 + 0.06x = -1.5 Add '1.56' to each side of the equation. -1.56 + 1.56 + 0.06x = -1.5 + 1.56 Combine like terms: -1.56 + 1.56 = 0.00 0.00 + 0.06x = -1.5 + 1.56 0.06x = -1.5 + 1.56 Combine like terms: -1.5 + 1.56 = 0.06 0.06x = 0.06 Divide each side by '0.06'. x = 1 Simplifying x = 1
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