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Simplifying 8(x + -5) = 6(x + -5) + -3x Reorder the terms: 8(-5 + x) = 6(x + -5) + -3x (-5 * 8 + x * 8) = 6(x + -5) + -3x (-40 + 8x) = 6(x + -5) + -3x Reorder the terms: -40 + 8x = 6(-5 + x) + -3x -40 + 8x = (-5 * 6 + x * 6) + -3x -40 + 8x = (-30 + 6x) + -3x Combine like terms: 6x + -3x = 3x -40 + 8x = -30 + 3x Solving -40 + 8x = -30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 8x + -3x = -30 + 3x + -3x Combine like terms: 8x + -3x = 5x -40 + 5x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 5x = -30 + 0 -40 + 5x = -30 Add '40' to each side of the equation. -40 + 40 + 5x = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = -30 + 40 5x = -30 + 40 Combine like terms: -30 + 40 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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