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Simplifying 3x + 4(x + -2) = x + -5 + 3(2x + -1) Reorder the terms: 3x + 4(-2 + x) = x + -5 + 3(2x + -1) 3x + (-2 * 4 + x * 4) = x + -5 + 3(2x + -1) 3x + (-8 + 4x) = x + -5 + 3(2x + -1) Reorder the terms: -8 + 3x + 4x = x + -5 + 3(2x + -1) Combine like terms: 3x + 4x = 7x -8 + 7x = x + -5 + 3(2x + -1) Reorder the terms: -8 + 7x = x + -5 + 3(-1 + 2x) -8 + 7x = x + -5 + (-1 * 3 + 2x * 3) -8 + 7x = x + -5 + (-3 + 6x) Reorder the terms: -8 + 7x = -5 + -3 + x + 6x Combine like terms: -5 + -3 = -8 -8 + 7x = -8 + x + 6x Combine like terms: x + 6x = 7x -8 + 7x = -8 + 7x Add '8' to each side of the equation. -8 + 8 + 7x = -8 + 8 + 7x Combine like terms: -8 + 8 = 0 0 + 7x = -8 + 8 + 7x 7x = -8 + 8 + 7x Combine like terms: -8 + 8 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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