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Simplifying 2x + 4 = 5(x + 1) + 3(x + 2) Reorder the terms: 4 + 2x = 5(x + 1) + 3(x + 2) Reorder the terms: 4 + 2x = 5(1 + x) + 3(x + 2) 4 + 2x = (1 * 5 + x * 5) + 3(x + 2) 4 + 2x = (5 + 5x) + 3(x + 2) Reorder the terms: 4 + 2x = 5 + 5x + 3(2 + x) 4 + 2x = 5 + 5x + (2 * 3 + x * 3) 4 + 2x = 5 + 5x + (6 + 3x) Reorder the terms: 4 + 2x = 5 + 6 + 5x + 3x Combine like terms: 5 + 6 = 11 4 + 2x = 11 + 5x + 3x Combine like terms: 5x + 3x = 8x 4 + 2x = 11 + 8x Solving 4 + 2x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 2x + -8x = 11 + 8x + -8x Combine like terms: 2x + -8x = -6x 4 + -6x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -6x = 11 + 0 4 + -6x = 11 Add '-4' to each side of the equation. 4 + -4 + -6x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 11 + -4 -6x = 11 + -4 Combine like terms: 11 + -4 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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