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