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Simplifying 8(x + -4) + 5x = 4(x + -8) + 9x Reorder the terms: 8(-4 + x) + 5x = 4(x + -8) + 9x (-4 * 8 + x * 8) + 5x = 4(x + -8) + 9x (-32 + 8x) + 5x = 4(x + -8) + 9x Combine like terms: 8x + 5x = 13x -32 + 13x = 4(x + -8) + 9x Reorder the terms: -32 + 13x = 4(-8 + x) + 9x -32 + 13x = (-8 * 4 + x * 4) + 9x -32 + 13x = (-32 + 4x) + 9x Combine like terms: 4x + 9x = 13x -32 + 13x = -32 + 13x Add '32' to each side of the equation. -32 + 32 + 13x = -32 + 32 + 13x Combine like terms: -32 + 32 = 0 0 + 13x = -32 + 32 + 13x 13x = -32 + 32 + 13x Combine like terms: -32 + 32 = 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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