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Simplifying 8(x + -5) + -3x = -4(x + 10) + 9x Reorder the terms: 8(-5 + x) + -3x = -4(x + 10) + 9x (-5 * 8 + x * 8) + -3x = -4(x + 10) + 9x (-40 + 8x) + -3x = -4(x + 10) + 9x Combine like terms: 8x + -3x = 5x -40 + 5x = -4(x + 10) + 9x Reorder the terms: -40 + 5x = -4(10 + x) + 9x -40 + 5x = (10 * -4 + x * -4) + 9x -40 + 5x = (-40 + -4x) + 9x Combine like terms: -4x + 9x = 5x -40 + 5x = -40 + 5x Add '40' to each side of the equation. -40 + 40 + 5x = -40 + 40 + 5x Combine like terms: -40 + 40 = 0 0 + 5x = -40 + 40 + 5x 5x = -40 + 40 + 5x Combine like terms: -40 + 40 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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