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Simplifying 3(x + 1) + 4(2x + -1) = 5(2X + 3) Reorder the terms: 3(1 + x) + 4(2x + -1) = 5(2X + 3) (1 * 3 + x * 3) + 4(2x + -1) = 5(2X + 3) (3 + 3x) + 4(2x + -1) = 5(2X + 3) Reorder the terms: 3 + 3x + 4(-1 + 2x) = 5(2X + 3) 3 + 3x + (-1 * 4 + 2x * 4) = 5(2X + 3) 3 + 3x + (-4 + 8x) = 5(2X + 3) Reorder the terms: 3 + -4 + 3x + 8x = 5(2X + 3) Combine like terms: 3 + -4 = -1 -1 + 3x + 8x = 5(2X + 3) Combine like terms: 3x + 8x = 11x -1 + 11x = 5(2X + 3) Reorder the terms: -1 + 11x = 5(3 + 2X) -1 + 11x = (3 * 5 + 2X * 5) -1 + 11x = (15 + 10X) Solving -1 + 11x = 15 + 10X 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 + 11x = 15 + 1 + 10X Combine like terms: -1 + 1 = 0 0 + 11x = 15 + 1 + 10X 11x = 15 + 1 + 10X Combine like terms: 15 + 1 = 16 11x = 16 + 10X Divide each side by '11'. x = 1.454545455 + 0.9090909091X Simplifying x = 1.454545455 + 0.9090909091X
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