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Simplifying 6(1 + 3x) = -8(-2x + 5) (1 * 6 + 3x * 6) = -8(-2x + 5) (6 + 18x) = -8(-2x + 5) Reorder the terms: 6 + 18x = -8(5 + -2x) 6 + 18x = (5 * -8 + -2x * -8) 6 + 18x = (-40 + 16x) Solving 6 + 18x = -40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 6 + 18x + -16x = -40 + 16x + -16x Combine like terms: 18x + -16x = 2x 6 + 2x = -40 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + 2x = -40 + 0 6 + 2x = -40 Add '-6' to each side of the equation. 6 + -6 + 2x = -40 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -40 + -6 2x = -40 + -6 Combine like terms: -40 + -6 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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