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Simplifying 4 + -3x + 5 = 6 + -2x + -7 Reorder the terms: 4 + 5 + -3x = 6 + -2x + -7 Combine like terms: 4 + 5 = 9 9 + -3x = 6 + -2x + -7 Reorder the terms: 9 + -3x = 6 + -7 + -2x Combine like terms: 6 + -7 = -1 9 + -3x = -1 + -2x Solving 9 + -3x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + -3x + 2x = -1 + -2x + 2x Combine like terms: -3x + 2x = -1x 9 + -1x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + -1x = -1 + 0 9 + -1x = -1 Add '-9' to each side of the equation. 9 + -9 + -1x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -1 + -9 -1x = -1 + -9 Combine like terms: -1 + -9 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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