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Simplifying 3.1(4.8x + -1) + -3.9 = x + 1 Reorder the terms: 3.1(-1 + 4.8x) + -3.9 = x + 1 (-1 * 3.1 + 4.8x * 3.1) + -3.9 = x + 1 (-3.1 + 14.88x) + -3.9 = x + 1 Reorder the terms: -3.1 + -3.9 + 14.88x = x + 1 Combine like terms: -3.1 + -3.9 = -7 -7 + 14.88x = x + 1 Reorder the terms: -7 + 14.88x = 1 + x Solving -7 + 14.88x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 14.88x + -1x = 1 + x + -1x Combine like terms: 14.88x + -1x = 13.88x -7 + 13.88x = 1 + x + -1x Combine like terms: x + -1x = 0 -7 + 13.88x = 1 + 0 -7 + 13.88x = 1 Add '7' to each side of the equation. -7 + 7 + 13.88x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 13.88x = 1 + 7 13.88x = 1 + 7 Combine like terms: 1 + 7 = 8 13.88x = 8 Divide each side by '13.88'. x = 0.5763688761 Simplifying x = 0.5763688761
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