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Simplifying 4(x + -5) + -3(x + 5) = 35 + -5(x + 8) Reorder the terms: 4(-5 + x) + -3(x + 5) = 35 + -5(x + 8) (-5 * 4 + x * 4) + -3(x + 5) = 35 + -5(x + 8) (-20 + 4x) + -3(x + 5) = 35 + -5(x + 8) Reorder the terms: -20 + 4x + -3(5 + x) = 35 + -5(x + 8) -20 + 4x + (5 * -3 + x * -3) = 35 + -5(x + 8) -20 + 4x + (-15 + -3x) = 35 + -5(x + 8) Reorder the terms: -20 + -15 + 4x + -3x = 35 + -5(x + 8) Combine like terms: -20 + -15 = -35 -35 + 4x + -3x = 35 + -5(x + 8) Combine like terms: 4x + -3x = 1x -35 + 1x = 35 + -5(x + 8) Reorder the terms: -35 + 1x = 35 + -5(8 + x) -35 + 1x = 35 + (8 * -5 + x * -5) -35 + 1x = 35 + (-40 + -5x) Combine like terms: 35 + -40 = -5 -35 + 1x = -5 + -5x Solving -35 + 1x = -5 + -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. -35 + 1x + 5x = -5 + -5x + 5x Combine like terms: 1x + 5x = 6x -35 + 6x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 -35 + 6x = -5 + 0 -35 + 6x = -5 Add '35' to each side of the equation. -35 + 35 + 6x = -5 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = -5 + 35 6x = -5 + 35 Combine like terms: -5 + 35 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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