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Simplifying 5(x + -2) + -4x = 3x + -8x + 7 Reorder the terms: 5(-2 + x) + -4x = 3x + -8x + 7 (-2 * 5 + x * 5) + -4x = 3x + -8x + 7 (-10 + 5x) + -4x = 3x + -8x + 7 Combine like terms: 5x + -4x = 1x -10 + 1x = 3x + -8x + 7 Reorder the terms: -10 + 1x = 7 + 3x + -8x Combine like terms: 3x + -8x = -5x -10 + 1x = 7 + -5x Solving -10 + 1x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + 1x + 5x = 7 + -5x + 5x Combine like terms: 1x + 5x = 6x -10 + 6x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 6x = 7 + 0 -10 + 6x = 7 Add '10' to each side of the equation. -10 + 10 + 6x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 7 + 10 6x = 7 + 10 Combine like terms: 7 + 10 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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