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Simplifying 6x + 8 + -5x + -10 = 4x + 3x + 15 Reorder the terms: 8 + -10 + 6x + -5x = 4x + 3x + 15 Combine like terms: 8 + -10 = -2 -2 + 6x + -5x = 4x + 3x + 15 Combine like terms: 6x + -5x = 1x -2 + 1x = 4x + 3x + 15 Reorder the terms: -2 + 1x = 15 + 4x + 3x Combine like terms: 4x + 3x = 7x -2 + 1x = 15 + 7x Solving -2 + 1x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 1x + -7x = 15 + 7x + -7x Combine like terms: 1x + -7x = -6x -2 + -6x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -6x = 15 + 0 -2 + -6x = 15 Add '2' to each side of the equation. -2 + 2 + -6x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 15 + 2 -6x = 15 + 2 Combine like terms: 15 + 2 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333
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