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