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Simplifying 5(3x + -2(2x + -6) + -1(3x + -1)) = 90 Reorder the terms: 5(3x + -2(-6 + 2x) + -1(3x + -1)) = 90 5(3x + (-6 * -2 + 2x * -2) + -1(3x + -1)) = 90 5(3x + (12 + -4x) + -1(3x + -1)) = 90 Reorder the terms: 5(3x + 12 + -4x + -1(-1 + 3x)) = 90 5(3x + 12 + -4x + (-1 * -1 + 3x * -1)) = 90 5(3x + 12 + -4x + (1 + -3x)) = 90 Reorder the terms: 5(12 + 1 + 3x + -4x + -3x) = 90 Combine like terms: 12 + 1 = 13 5(13 + 3x + -4x + -3x) = 90 Combine like terms: 3x + -4x = -1x 5(13 + -1x + -3x) = 90 Combine like terms: -1x + -3x = -4x 5(13 + -4x) = 90 (13 * 5 + -4x * 5) = 90 (65 + -20x) = 90 Solving 65 + -20x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -20x = 90 + -65 Combine like terms: 65 + -65 = 0 0 + -20x = 90 + -65 -20x = 90 + -65 Combine like terms: 90 + -65 = 25 -20x = 25 Divide each side by '-20'. x = -1.25 Simplifying x = -1.25
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