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Simplifying 3(x + -7) + x = 4(x + -8) + 11 Reorder the terms: 3(-7 + x) + x = 4(x + -8) + 11 (-7 * 3 + x * 3) + x = 4(x + -8) + 11 (-21 + 3x) + x = 4(x + -8) + 11 Combine like terms: 3x + x = 4x -21 + 4x = 4(x + -8) + 11 Reorder the terms: -21 + 4x = 4(-8 + x) + 11 -21 + 4x = (-8 * 4 + x * 4) + 11 -21 + 4x = (-32 + 4x) + 11 Reorder the terms: -21 + 4x = -32 + 11 + 4x Combine like terms: -32 + 11 = -21 -21 + 4x = -21 + 4x Add '21' to each side of the equation. -21 + 21 + 4x = -21 + 21 + 4x Combine like terms: -21 + 21 = 0 0 + 4x = -21 + 21 + 4x 4x = -21 + 21 + 4x Combine like terms: -21 + 21 = 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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