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Simplifying 5(3x + -1) + -4(2x + -1) = -18 Reorder the terms: 5(-1 + 3x) + -4(2x + -1) = -18 (-1 * 5 + 3x * 5) + -4(2x + -1) = -18 (-5 + 15x) + -4(2x + -1) = -18 Reorder the terms: -5 + 15x + -4(-1 + 2x) = -18 -5 + 15x + (-1 * -4 + 2x * -4) = -18 -5 + 15x + (4 + -8x) = -18 Reorder the terms: -5 + 4 + 15x + -8x = -18 Combine like terms: -5 + 4 = -1 -1 + 15x + -8x = -18 Combine like terms: 15x + -8x = 7x -1 + 7x = -18 Solving -1 + 7x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = -18 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = -18 + 1 7x = -18 + 1 Combine like terms: -18 + 1 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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