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Simplifying 5(x + 1) + -1x = 4(x + -1) + 9 Reorder the terms: 5(1 + x) + -1x = 4(x + -1) + 9 (1 * 5 + x * 5) + -1x = 4(x + -1) + 9 (5 + 5x) + -1x = 4(x + -1) + 9 Combine like terms: 5x + -1x = 4x 5 + 4x = 4(x + -1) + 9 Reorder the terms: 5 + 4x = 4(-1 + x) + 9 5 + 4x = (-1 * 4 + x * 4) + 9 5 + 4x = (-4 + 4x) + 9 Reorder the terms: 5 + 4x = -4 + 9 + 4x Combine like terms: -4 + 9 = 5 5 + 4x = 5 + 4x Add '-5' to each side of the equation. 5 + -5 + 4x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 0 + 4x = 5 + -5 + 4x 4x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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