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Simplifying 4(2x + 1) + -3(x + 1) = 3 Reorder the terms: 4(1 + 2x) + -3(x + 1) = 3 (1 * 4 + 2x * 4) + -3(x + 1) = 3 (4 + 8x) + -3(x + 1) = 3 Reorder the terms: 4 + 8x + -3(1 + x) = 3 4 + 8x + (1 * -3 + x * -3) = 3 4 + 8x + (-3 + -3x) = 3 Reorder the terms: 4 + -3 + 8x + -3x = 3 Combine like terms: 4 + -3 = 1 1 + 8x + -3x = 3 Combine like terms: 8x + -3x = 5x 1 + 5x = 3 Solving 1 + 5x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 3 + -1 5x = 3 + -1 Combine like terms: 3 + -1 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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