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Simplifying 2(x + 4) + -5(x + 3) = 2 Reorder the terms: 2(4 + x) + -5(x + 3) = 2 (4 * 2 + x * 2) + -5(x + 3) = 2 (8 + 2x) + -5(x + 3) = 2 Reorder the terms: 8 + 2x + -5(3 + x) = 2 8 + 2x + (3 * -5 + x * -5) = 2 8 + 2x + (-15 + -5x) = 2 Reorder the terms: 8 + -15 + 2x + -5x = 2 Combine like terms: 8 + -15 = -7 -7 + 2x + -5x = 2 Combine like terms: 2x + -5x = -3x -7 + -3x = 2 Solving -7 + -3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 2 + 7 -3x = 2 + 7 Combine like terms: 2 + 7 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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