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Simplifying 7[4 + -1(5 + 4x)] + -2x = -9 + 2(1 + -15x) 7[4 + (5 * -1 + 4x * -1)] + -2x = -9 + 2(1 + -15x) 7[4 + (-5 + -4x)] + -2x = -9 + 2(1 + -15x) Combine like terms: 4 + -5 = -1 7[-1 + -4x] + -2x = -9 + 2(1 + -15x) [-1 * 7 + -4x * 7] + -2x = -9 + 2(1 + -15x) [-7 + -28x] + -2x = -9 + 2(1 + -15x) Combine like terms: -28x + -2x = -30x -7 + -30x = -9 + 2(1 + -15x) -7 + -30x = -9 + (1 * 2 + -15x * 2) -7 + -30x = -9 + (2 + -30x) Combine like terms: -9 + 2 = -7 -7 + -30x = -7 + -30x Add '7' to each side of the equation. -7 + 7 + -30x = -7 + 7 + -30x Combine like terms: -7 + 7 = 0 0 + -30x = -7 + 7 + -30x -30x = -7 + 7 + -30x Combine like terms: -7 + 7 = 0 -30x = 0 + -30x -30x = -30x Add '30x' to each side of the equation. -30x + 30x = -30x + 30x Combine like terms: -30x + 30x = 0 0 = -30x + 30x Combine like terms: -30x + 30x = 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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