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Simplifying 3(x + -7) + 5(x + -4) = 15 Reorder the terms: 3(-7 + x) + 5(x + -4) = 15 (-7 * 3 + x * 3) + 5(x + -4) = 15 (-21 + 3x) + 5(x + -4) = 15 Reorder the terms: -21 + 3x + 5(-4 + x) = 15 -21 + 3x + (-4 * 5 + x * 5) = 15 -21 + 3x + (-20 + 5x) = 15 Reorder the terms: -21 + -20 + 3x + 5x = 15 Combine like terms: -21 + -20 = -41 -41 + 3x + 5x = 15 Combine like terms: 3x + 5x = 8x -41 + 8x = 15 Solving -41 + 8x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 8x = 15 + 41 Combine like terms: -41 + 41 = 0 0 + 8x = 15 + 41 8x = 15 + 41 Combine like terms: 15 + 41 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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