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