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Simplifying 8(x + -5) + -3x + 24 = 11(x + -1) + -3x + -35 Reorder the terms: 8(-5 + x) + -3x + 24 = 11(x + -1) + -3x + -35 (-5 * 8 + x * 8) + -3x + 24 = 11(x + -1) + -3x + -35 (-40 + 8x) + -3x + 24 = 11(x + -1) + -3x + -35 Reorder the terms: -40 + 24 + 8x + -3x = 11(x + -1) + -3x + -35 Combine like terms: -40 + 24 = -16 -16 + 8x + -3x = 11(x + -1) + -3x + -35 Combine like terms: 8x + -3x = 5x -16 + 5x = 11(x + -1) + -3x + -35 Reorder the terms: -16 + 5x = 11(-1 + x) + -3x + -35 -16 + 5x = (-1 * 11 + x * 11) + -3x + -35 -16 + 5x = (-11 + 11x) + -3x + -35 Reorder the terms: -16 + 5x = -11 + -35 + 11x + -3x Combine like terms: -11 + -35 = -46 -16 + 5x = -46 + 11x + -3x Combine like terms: 11x + -3x = 8x -16 + 5x = -46 + 8x Solving -16 + 5x = -46 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 5x + -8x = -46 + 8x + -8x Combine like terms: 5x + -8x = -3x -16 + -3x = -46 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -3x = -46 + 0 -16 + -3x = -46 Add '16' to each side of the equation. -16 + 16 + -3x = -46 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = -46 + 16 -3x = -46 + 16 Combine like terms: -46 + 16 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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