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Simplifying 3x + -4x + 7x + -9 = 3x + 10x + -15 Reorder the terms: -9 + 3x + -4x + 7x = 3x + 10x + -15 Combine like terms: 3x + -4x = -1x -9 + -1x + 7x = 3x + 10x + -15 Combine like terms: -1x + 7x = 6x -9 + 6x = 3x + 10x + -15 Reorder the terms: -9 + 6x = -15 + 3x + 10x Combine like terms: 3x + 10x = 13x -9 + 6x = -15 + 13x Solving -9 + 6x = -15 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -9 + 6x + -13x = -15 + 13x + -13x Combine like terms: 6x + -13x = -7x -9 + -7x = -15 + 13x + -13x Combine like terms: 13x + -13x = 0 -9 + -7x = -15 + 0 -9 + -7x = -15 Add '9' to each side of the equation. -9 + 9 + -7x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = -15 + 9 -7x = -15 + 9 Combine like terms: -15 + 9 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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