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Simplifying 4x + 3 + -5x = 8 + -2x + 7 Reorder the terms: 3 + 4x + -5x = 8 + -2x + 7 Combine like terms: 4x + -5x = -1x 3 + -1x = 8 + -2x + 7 Reorder the terms: 3 + -1x = 8 + 7 + -2x Combine like terms: 8 + 7 = 15 3 + -1x = 15 + -2x Solving 3 + -1x = 15 + -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. 3 + -1x + 2x = 15 + -2x + 2x Combine like terms: -1x + 2x = 1x 3 + 1x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 1x = 15 + 0 3 + 1x = 15 Add '-3' to each side of the equation. 3 + -3 + 1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 15 + -3 1x = 15 + -3 Combine like terms: 15 + -3 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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