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Simplifying 8(x + -5) + 5x = -2(x + 20) + 15x Reorder the terms: 8(-5 + x) + 5x = -2(x + 20) + 15x (-5 * 8 + x * 8) + 5x = -2(x + 20) + 15x (-40 + 8x) + 5x = -2(x + 20) + 15x Combine like terms: 8x + 5x = 13x -40 + 13x = -2(x + 20) + 15x Reorder the terms: -40 + 13x = -2(20 + x) + 15x -40 + 13x = (20 * -2 + x * -2) + 15x -40 + 13x = (-40 + -2x) + 15x Combine like terms: -2x + 15x = 13x -40 + 13x = -40 + 13x Add '40' to each side of the equation. -40 + 40 + 13x = -40 + 40 + 13x Combine like terms: -40 + 40 = 0 0 + 13x = -40 + 40 + 13x 13x = -40 + 40 + 13x Combine like terms: -40 + 40 = 0 13x = 0 + 13x 13x = 13x Add '-13x' to each side of the equation. 13x + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 0 = 13x + -13x Combine like terms: 13x + -13x = 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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