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Simplifying 4(x + 3) + -5(x + 4) = 15 Reorder the terms: 4(3 + x) + -5(x + 4) = 15 (3 * 4 + x * 4) + -5(x + 4) = 15 (12 + 4x) + -5(x + 4) = 15 Reorder the terms: 12 + 4x + -5(4 + x) = 15 12 + 4x + (4 * -5 + x * -5) = 15 12 + 4x + (-20 + -5x) = 15 Reorder the terms: 12 + -20 + 4x + -5x = 15 Combine like terms: 12 + -20 = -8 -8 + 4x + -5x = 15 Combine like terms: 4x + -5x = -1x -8 + -1x = 15 Solving -8 + -1x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 15 + 8 -1x = 15 + 8 Combine like terms: 15 + 8 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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