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Simplifying 3(x + -6) + x = 4(x + -7) + 10 Reorder the terms: 3(-6 + x) + x = 4(x + -7) + 10 (-6 * 3 + x * 3) + x = 4(x + -7) + 10 (-18 + 3x) + x = 4(x + -7) + 10 Combine like terms: 3x + x = 4x -18 + 4x = 4(x + -7) + 10 Reorder the terms: -18 + 4x = 4(-7 + x) + 10 -18 + 4x = (-7 * 4 + x * 4) + 10 -18 + 4x = (-28 + 4x) + 10 Reorder the terms: -18 + 4x = -28 + 10 + 4x Combine like terms: -28 + 10 = -18 -18 + 4x = -18 + 4x Add '18' to each side of the equation. -18 + 18 + 4x = -18 + 18 + 4x Combine like terms: -18 + 18 = 0 0 + 4x = -18 + 18 + 4x 4x = -18 + 18 + 4x Combine like terms: -18 + 18 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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