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Simplifying -5(8 + -2x) + -10 = 0.5(8x + -28) (8 * -5 + -2x * -5) + -10 = 0.5(8x + -28) (-40 + 10x) + -10 = 0.5(8x + -28) Reorder the terms: -40 + -10 + 10x = 0.5(8x + -28) Combine like terms: -40 + -10 = -50 -50 + 10x = 0.5(8x + -28) Reorder the terms: -50 + 10x = 0.5(-28 + 8x) -50 + 10x = (-28 * 0.5 + 8x * 0.5) -50 + 10x = (-14 + 4x) Solving -50 + 10x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -50 + 10x + -4x = -14 + 4x + -4x Combine like terms: 10x + -4x = 6x -50 + 6x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -50 + 6x = -14 + 0 -50 + 6x = -14 Add '50' to each side of the equation. -50 + 50 + 6x = -14 + 50 Combine like terms: -50 + 50 = 0 0 + 6x = -14 + 50 6x = -14 + 50 Combine like terms: -14 + 50 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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