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Simplifying 3(x + -21) + 2(x + -2) = 18 Reorder the terms: 3(-21 + x) + 2(x + -2) = 18 (-21 * 3 + x * 3) + 2(x + -2) = 18 (-63 + 3x) + 2(x + -2) = 18 Reorder the terms: -63 + 3x + 2(-2 + x) = 18 -63 + 3x + (-2 * 2 + x * 2) = 18 -63 + 3x + (-4 + 2x) = 18 Reorder the terms: -63 + -4 + 3x + 2x = 18 Combine like terms: -63 + -4 = -67 -67 + 3x + 2x = 18 Combine like terms: 3x + 2x = 5x -67 + 5x = 18 Solving -67 + 5x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 5x = 18 + 67 Combine like terms: -67 + 67 = 0 0 + 5x = 18 + 67 5x = 18 + 67 Combine like terms: 18 + 67 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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