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Simplifying 10(x + 1) + -14x = 9 + -1(4x + -1) Reorder the terms: 10(1 + x) + -14x = 9 + -1(4x + -1) (1 * 10 + x * 10) + -14x = 9 + -1(4x + -1) (10 + 10x) + -14x = 9 + -1(4x + -1) Combine like terms: 10x + -14x = -4x 10 + -4x = 9 + -1(4x + -1) Reorder the terms: 10 + -4x = 9 + -1(-1 + 4x) 10 + -4x = 9 + (-1 * -1 + 4x * -1) 10 + -4x = 9 + (1 + -4x) Combine like terms: 9 + 1 = 10 10 + -4x = 10 + -4x Add '-10' to each side of the equation. 10 + -10 + -4x = 10 + -10 + -4x Combine like terms: 10 + -10 = 0 0 + -4x = 10 + -10 + -4x -4x = 10 + -10 + -4x Combine like terms: 10 + -10 = 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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