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Simplifying 4(2x + 1) + -3(x + -2) = 10 + 2 Reorder the terms: 4(1 + 2x) + -3(x + -2) = 10 + 2 (1 * 4 + 2x * 4) + -3(x + -2) = 10 + 2 (4 + 8x) + -3(x + -2) = 10 + 2 Reorder the terms: 4 + 8x + -3(-2 + x) = 10 + 2 4 + 8x + (-2 * -3 + x * -3) = 10 + 2 4 + 8x + (6 + -3x) = 10 + 2 Reorder the terms: 4 + 6 + 8x + -3x = 10 + 2 Combine like terms: 4 + 6 = 10 10 + 8x + -3x = 10 + 2 Combine like terms: 8x + -3x = 5x 10 + 5x = 10 + 2 Combine like terms: 10 + 2 = 12 10 + 5x = 12 Solving 10 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 12 + -10 5x = 12 + -10 Combine like terms: 12 + -10 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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