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