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Simplifying 5(1 + -1x) + 8(x + -5) = -3x + x (1 * 5 + -1x * 5) + 8(x + -5) = -3x + x (5 + -5x) + 8(x + -5) = -3x + x Reorder the terms: 5 + -5x + 8(-5 + x) = -3x + x 5 + -5x + (-5 * 8 + x * 8) = -3x + x 5 + -5x + (-40 + 8x) = -3x + x Reorder the terms: 5 + -40 + -5x + 8x = -3x + x Combine like terms: 5 + -40 = -35 -35 + -5x + 8x = -3x + x Combine like terms: -5x + 8x = 3x -35 + 3x = -3x + x Combine like terms: -3x + x = -2x -35 + 3x = -2x Solving -35 + 3x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + 3x + 2x = -2x + 2x Combine like terms: 3x + 2x = 5x -35 + 5x = -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 5x = 0 Add '35' to each side of the equation. -35 + 35 + 5x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = 0 + 35 5x = 0 + 35 Combine like terms: 0 + 35 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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