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Simplifying 0.3(x + 5) = -8x + -5(x + 8) Reorder the terms: 0.3(5 + x) = -8x + -5(x + 8) (5 * 0.3 + x * 0.3) = -8x + -5(x + 8) (1.5 + 0.3x) = -8x + -5(x + 8) Reorder the terms: 1.5 + 0.3x = -8x + -5(8 + x) 1.5 + 0.3x = -8x + (8 * -5 + x * -5) 1.5 + 0.3x = -8x + (-40 + -5x) Reorder the terms: 1.5 + 0.3x = -40 + -8x + -5x Combine like terms: -8x + -5x = -13x 1.5 + 0.3x = -40 + -13x Solving 1.5 + 0.3x = -40 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 1.5 + 0.3x + 13x = -40 + -13x + 13x Combine like terms: 0.3x + 13x = 13.3x 1.5 + 13.3x = -40 + -13x + 13x Combine like terms: -13x + 13x = 0 1.5 + 13.3x = -40 + 0 1.5 + 13.3x = -40 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 13.3x = -40 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 13.3x = -40 + -1.5 13.3x = -40 + -1.5 Combine like terms: -40 + -1.5 = -41.5 13.3x = -41.5 Divide each side by '13.3'. x = -3.120300752 Simplifying x = -3.120300752
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