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Simplifying 4 + 3x = 2 + 5(1 + -1x) 4 + 3x = 2 + (1 * 5 + -1x * 5) 4 + 3x = 2 + (5 + -5x) Combine like terms: 2 + 5 = 7 4 + 3x = 7 + -5x Solving 4 + 3x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 3x + 5x = 7 + -5x + 5x Combine like terms: 3x + 5x = 8x 4 + 8x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 8x = 7 + 0 4 + 8x = 7 Add '-4' to each side of the equation. 4 + -4 + 8x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 7 + -4 8x = 7 + -4 Combine like terms: 7 + -4 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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