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Simplifying 8(x + -5) = 0.5 * 6(2x + 12) Reorder the terms: 8(-5 + x) = 0.5 * 6(2x + 12) (-5 * 8 + x * 8) = 0.5 * 6(2x + 12) (-40 + 8x) = 0.5 * 6(2x + 12) Reorder the terms: -40 + 8x = 0.5 * 6(12 + 2x) Multiply 0.5 * 6 -40 + 8x = 3(12 + 2x) -40 + 8x = (12 * 3 + 2x * 3) -40 + 8x = (36 + 6x) Solving -40 + 8x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -40 + 8x + -6x = 36 + 6x + -6x Combine like terms: 8x + -6x = 2x -40 + 2x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 2x = 36 + 0 -40 + 2x = 36 Add '40' to each side of the equation. -40 + 40 + 2x = 36 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 36 + 40 2x = 36 + 40 Combine like terms: 36 + 40 = 76 2x = 76 Divide each side by '2'. x = 38 Simplifying x = 38
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