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Simplifying 5(3 + x) + -4(x + 1) = 2 (3 * 5 + x * 5) + -4(x + 1) = 2 (15 + 5x) + -4(x + 1) = 2 Reorder the terms: 15 + 5x + -4(1 + x) = 2 15 + 5x + (1 * -4 + x * -4) = 2 15 + 5x + (-4 + -4x) = 2 Reorder the terms: 15 + -4 + 5x + -4x = 2 Combine like terms: 15 + -4 = 11 11 + 5x + -4x = 2 Combine like terms: 5x + -4x = 1x 11 + 1x = 2 Solving 11 + 1x = 2 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 + 1x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 2 + -11 1x = 2 + -11 Combine like terms: 2 + -11 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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