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Simplifying 4x + 3x + -7 + -8x + -10 + 2x = 4x + -6 + 11 + -10x + -13 Reorder the terms: -7 + -10 + 4x + 3x + -8x + 2x = 4x + -6 + 11 + -10x + -13 Combine like terms: -7 + -10 = -17 -17 + 4x + 3x + -8x + 2x = 4x + -6 + 11 + -10x + -13 Combine like terms: 4x + 3x = 7x -17 + 7x + -8x + 2x = 4x + -6 + 11 + -10x + -13 Combine like terms: 7x + -8x = -1x -17 + -1x + 2x = 4x + -6 + 11 + -10x + -13 Combine like terms: -1x + 2x = 1x -17 + 1x = 4x + -6 + 11 + -10x + -13 Reorder the terms: -17 + 1x = -6 + 11 + -13 + 4x + -10x Combine like terms: -6 + 11 = 5 -17 + 1x = 5 + -13 + 4x + -10x Combine like terms: 5 + -13 = -8 -17 + 1x = -8 + 4x + -10x Combine like terms: 4x + -10x = -6x -17 + 1x = -8 + -6x Solving -17 + 1x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + 1x + 6x = -8 + -6x + 6x Combine like terms: 1x + 6x = 7x -17 + 7x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 7x = -8 + 0 -17 + 7x = -8 Add '17' to each side of the equation. -17 + 17 + 7x = -8 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = -8 + 17 7x = -8 + 17 Combine like terms: -8 + 17 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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