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Simplifying 4(x + 1) + -7x = -3(x + -1) + 1 Reorder the terms: 4(1 + x) + -7x = -3(x + -1) + 1 (1 * 4 + x * 4) + -7x = -3(x + -1) + 1 (4 + 4x) + -7x = -3(x + -1) + 1 Combine like terms: 4x + -7x = -3x 4 + -3x = -3(x + -1) + 1 Reorder the terms: 4 + -3x = -3(-1 + x) + 1 4 + -3x = (-1 * -3 + x * -3) + 1 4 + -3x = (3 + -3x) + 1 Reorder the terms: 4 + -3x = 3 + 1 + -3x Combine like terms: 3 + 1 = 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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