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Simplifying 3(x + 5) + -4(x + 4) = -1x + -1 Reorder the terms: 3(5 + x) + -4(x + 4) = -1x + -1 (5 * 3 + x * 3) + -4(x + 4) = -1x + -1 (15 + 3x) + -4(x + 4) = -1x + -1 Reorder the terms: 15 + 3x + -4(4 + x) = -1x + -1 15 + 3x + (4 * -4 + x * -4) = -1x + -1 15 + 3x + (-16 + -4x) = -1x + -1 Reorder the terms: 15 + -16 + 3x + -4x = -1x + -1 Combine like terms: 15 + -16 = -1 -1 + 3x + -4x = -1x + -1 Combine like terms: 3x + -4x = -1x -1 + -1x = -1x + -1 Reorder the terms: -1 + -1x = -1 + -1x Add '1' to each side of the equation. -1 + 1 + -1x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 0 + -1x = -1 + 1 + -1x -1x = -1 + 1 + -1x Combine like terms: -1 + 1 = 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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