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Simplifying -8.4 + 3x + -6.8 + 4x + -2.8 = 5.7 + 8x + 1.4 Reorder the terms: -8.4 + -6.8 + -2.8 + 3x + 4x = 5.7 + 8x + 1.4 Combine like terms: -8.4 + -6.8 = -15.2 -15.2 + -2.8 + 3x + 4x = 5.7 + 8x + 1.4 Combine like terms: -15.2 + -2.8 = -18 -18 + 3x + 4x = 5.7 + 8x + 1.4 Combine like terms: 3x + 4x = 7x -18 + 7x = 5.7 + 8x + 1.4 Reorder the terms: -18 + 7x = 5.7 + 1.4 + 8x Combine like terms: 5.7 + 1.4 = 7.1 -18 + 7x = 7.1 + 8x Solving -18 + 7x = 7.1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 7x + -8x = 7.1 + 8x + -8x Combine like terms: 7x + -8x = -1x -18 + -1x = 7.1 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -1x = 7.1 + 0 -18 + -1x = 7.1 Add '18' to each side of the equation. -18 + 18 + -1x = 7.1 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 7.1 + 18 -1x = 7.1 + 18 Combine like terms: 7.1 + 18 = 25.1 -1x = 25.1 Divide each side by '-1'. x = -25.1 Simplifying x = -25.1
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