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Simplifying 18 + -4x = -5(7x + 3) + -5(-4 + -6x) Reorder the terms: 18 + -4x = -5(3 + 7x) + -5(-4 + -6x) 18 + -4x = (3 * -5 + 7x * -5) + -5(-4 + -6x) 18 + -4x = (-15 + -35x) + -5(-4 + -6x) 18 + -4x = -15 + -35x + (-4 * -5 + -6x * -5) 18 + -4x = -15 + -35x + (20 + 30x) Reorder the terms: 18 + -4x = -15 + 20 + -35x + 30x Combine like terms: -15 + 20 = 5 18 + -4x = 5 + -35x + 30x Combine like terms: -35x + 30x = -5x 18 + -4x = 5 + -5x Solving 18 + -4x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 18 + -4x + 5x = 5 + -5x + 5x Combine like terms: -4x + 5x = 1x 18 + 1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 1x = 5 + 0 18 + 1x = 5 Add '-18' to each side of the equation. 18 + -18 + 1x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 5 + -18 1x = 5 + -18 Combine like terms: 5 + -18 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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