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Simplifying 5(4x + -1) + -5(3x + -18) = 4x + 6 Reorder the terms: 5(-1 + 4x) + -5(3x + -18) = 4x + 6 (-1 * 5 + 4x * 5) + -5(3x + -18) = 4x + 6 (-5 + 20x) + -5(3x + -18) = 4x + 6 Reorder the terms: -5 + 20x + -5(-18 + 3x) = 4x + 6 -5 + 20x + (-18 * -5 + 3x * -5) = 4x + 6 -5 + 20x + (90 + -15x) = 4x + 6 Reorder the terms: -5 + 90 + 20x + -15x = 4x + 6 Combine like terms: -5 + 90 = 85 85 + 20x + -15x = 4x + 6 Combine like terms: 20x + -15x = 5x 85 + 5x = 4x + 6 Reorder the terms: 85 + 5x = 6 + 4x Solving 85 + 5x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 85 + 5x + -4x = 6 + 4x + -4x Combine like terms: 5x + -4x = 1x 85 + 1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 85 + 1x = 6 + 0 85 + 1x = 6 Add '-85' to each side of the equation. 85 + -85 + 1x = 6 + -85 Combine like terms: 85 + -85 = 0 0 + 1x = 6 + -85 1x = 6 + -85 Combine like terms: 6 + -85 = -79 1x = -79 Divide each side by '1'. x = -79 Simplifying x = -79
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