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Simplifying 4(2x + 1) + 3(x + -2) = 10 + 5 Reorder the terms: 4(1 + 2x) + 3(x + -2) = 10 + 5 (1 * 4 + 2x * 4) + 3(x + -2) = 10 + 5 (4 + 8x) + 3(x + -2) = 10 + 5 Reorder the terms: 4 + 8x + 3(-2 + x) = 10 + 5 4 + 8x + (-2 * 3 + x * 3) = 10 + 5 4 + 8x + (-6 + 3x) = 10 + 5 Reorder the terms: 4 + -6 + 8x + 3x = 10 + 5 Combine like terms: 4 + -6 = -2 -2 + 8x + 3x = 10 + 5 Combine like terms: 8x + 3x = 11x -2 + 11x = 10 + 5 Combine like terms: 10 + 5 = 15 -2 + 11x = 15 Solving -2 + 11x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 15 + 2 11x = 15 + 2 Combine like terms: 15 + 2 = 17 11x = 17 Divide each side by '11'. x = 1.545454545 Simplifying x = 1.545454545
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