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Simplifying 3x + -7 + -2 = 8 + -4x + 5x + -15 Reorder the terms: -7 + -2 + 3x = 8 + -4x + 5x + -15 Combine like terms: -7 + -2 = -9 -9 + 3x = 8 + -4x + 5x + -15 Reorder the terms: -9 + 3x = 8 + -15 + -4x + 5x Combine like terms: 8 + -15 = -7 -9 + 3x = -7 + -4x + 5x Combine like terms: -4x + 5x = 1x -9 + 3x = -7 + 1x Solving -9 + 3x = -7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 3x + -1x = -7 + 1x + -1x Combine like terms: 3x + -1x = 2x -9 + 2x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 2x = -7 + 0 -9 + 2x = -7 Add '9' to each side of the equation. -9 + 9 + 2x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -7 + 9 2x = -7 + 9 Combine like terms: -7 + 9 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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