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Simplifying 4x + 5 + -1x = 10 + 2x + -7 Reorder the terms: 5 + 4x + -1x = 10 + 2x + -7 Combine like terms: 4x + -1x = 3x 5 + 3x = 10 + 2x + -7 Reorder the terms: 5 + 3x = 10 + -7 + 2x Combine like terms: 10 + -7 = 3 5 + 3x = 3 + 2x Solving 5 + 3x = 3 + 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. 5 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 3 + 0 5 + 1x = 3 Add '-5' to each side of the equation. 5 + -5 + 1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 3 + -5 1x = 3 + -5 Combine like terms: 3 + -5 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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