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Simplifying 4x + -15 + 2x + -10 = x + 4 + 2x + -9 Reorder the terms: -15 + -10 + 4x + 2x = x + 4 + 2x + -9 Combine like terms: -15 + -10 = -25 -25 + 4x + 2x = x + 4 + 2x + -9 Combine like terms: 4x + 2x = 6x -25 + 6x = x + 4 + 2x + -9 Reorder the terms: -25 + 6x = 4 + -9 + x + 2x Combine like terms: 4 + -9 = -5 -25 + 6x = -5 + x + 2x Combine like terms: x + 2x = 3x -25 + 6x = -5 + 3x Solving -25 + 6x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 6x + -3x = -5 + 3x + -3x Combine like terms: 6x + -3x = 3x -25 + 3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 3x = -5 + 0 -25 + 3x = -5 Add '25' to each side of the equation. -25 + 25 + 3x = -5 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = -5 + 25 3x = -5 + 25 Combine like terms: -5 + 25 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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