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Simplifying 5(2x + 3) + -4(x + 1) = 44 Reorder the terms: 5(3 + 2x) + -4(x + 1) = 44 (3 * 5 + 2x * 5) + -4(x + 1) = 44 (15 + 10x) + -4(x + 1) = 44 Reorder the terms: 15 + 10x + -4(1 + x) = 44 15 + 10x + (1 * -4 + x * -4) = 44 15 + 10x + (-4 + -4x) = 44 Reorder the terms: 15 + -4 + 10x + -4x = 44 Combine like terms: 15 + -4 = 11 11 + 10x + -4x = 44 Combine like terms: 10x + -4x = 6x 11 + 6x = 44 Solving 11 + 6x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 44 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 44 + -11 6x = 44 + -11 Combine like terms: 44 + -11 = 33 6x = 33 Divide each side by '6'. x = 5.5 Simplifying x = 5.5
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