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Simplifying 3(x + -4) + 5x = -2(x + 6) + 10x Reorder the terms: 3(-4 + x) + 5x = -2(x + 6) + 10x (-4 * 3 + x * 3) + 5x = -2(x + 6) + 10x (-12 + 3x) + 5x = -2(x + 6) + 10x Combine like terms: 3x + 5x = 8x -12 + 8x = -2(x + 6) + 10x Reorder the terms: -12 + 8x = -2(6 + x) + 10x -12 + 8x = (6 * -2 + x * -2) + 10x -12 + 8x = (-12 + -2x) + 10x Combine like terms: -2x + 10x = 8x -12 + 8x = -12 + 8x Add '12' to each side of the equation. -12 + 12 + 8x = -12 + 12 + 8x Combine like terms: -12 + 12 = 0 0 + 8x = -12 + 12 + 8x 8x = -12 + 12 + 8x Combine like terms: -12 + 12 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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