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Simplifying 5(x + -2) + -3(4 + -1x) = 18 Reorder the terms: 5(-2 + x) + -3(4 + -1x) = 18 (-2 * 5 + x * 5) + -3(4 + -1x) = 18 (-10 + 5x) + -3(4 + -1x) = 18 -10 + 5x + (4 * -3 + -1x * -3) = 18 -10 + 5x + (-12 + 3x) = 18 Reorder the terms: -10 + -12 + 5x + 3x = 18 Combine like terms: -10 + -12 = -22 -22 + 5x + 3x = 18 Combine like terms: 5x + 3x = 8x -22 + 8x = 18 Solving -22 + 8x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 8x = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = 18 + 22 8x = 18 + 22 Combine like terms: 18 + 22 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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