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Simplifying -8(5 + -1x) = 0.8(x + 58) (5 * -8 + -1x * -8) = 0.8(x + 58) (-40 + 8x) = 0.8(x + 58) Reorder the terms: -40 + 8x = 0.8(58 + x) -40 + 8x = (58 * 0.8 + x * 0.8) -40 + 8x = (46.4 + 0.8x) Solving -40 + 8x = 46.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -40 + 8x + -0.8x = 46.4 + 0.8x + -0.8x Combine like terms: 8x + -0.8x = 7.2x -40 + 7.2x = 46.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -40 + 7.2x = 46.4 + 0.0 -40 + 7.2x = 46.4 Add '40' to each side of the equation. -40 + 40 + 7.2x = 46.4 + 40 Combine like terms: -40 + 40 = 0 0 + 7.2x = 46.4 + 40 7.2x = 46.4 + 40 Combine like terms: 46.4 + 40 = 86.4 7.2x = 86.4 Divide each side by '7.2'. x = 12 Simplifying x = 12
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