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