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Simplifying 7(x + -4) + x = 8(x + -5) + 12 Reorder the terms: 7(-4 + x) + x = 8(x + -5) + 12 (-4 * 7 + x * 7) + x = 8(x + -5) + 12 (-28 + 7x) + x = 8(x + -5) + 12 Combine like terms: 7x + x = 8x -28 + 8x = 8(x + -5) + 12 Reorder the terms: -28 + 8x = 8(-5 + x) + 12 -28 + 8x = (-5 * 8 + x * 8) + 12 -28 + 8x = (-40 + 8x) + 12 Reorder the terms: -28 + 8x = -40 + 12 + 8x Combine like terms: -40 + 12 = -28 -28 + 8x = -28 + 8x Add '28' to each side of the equation. -28 + 28 + 8x = -28 + 28 + 8x Combine like terms: -28 + 28 = 0 0 + 8x = -28 + 28 + 8x 8x = -28 + 28 + 8x Combine like terms: -28 + 28 = 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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