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Simplifying -5(3x + 8) = -5x + 10 Reorder the terms: -5(8 + 3x) = -5x + 10 (8 * -5 + 3x * -5) = -5x + 10 (-40 + -15x) = -5x + 10 Reorder the terms: -40 + -15x = 10 + -5x Solving -40 + -15x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -40 + -15x + 5x = 10 + -5x + 5x Combine like terms: -15x + 5x = -10x -40 + -10x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -40 + -10x = 10 + 0 -40 + -10x = 10 Add '40' to each side of the equation. -40 + 40 + -10x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + -10x = 10 + 40 -10x = 10 + 40 Combine like terms: 10 + 40 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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