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