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Simplifying 7(2 + -1(3 + 4x)) + -2x = -9 + 2(1 + -15x) 7(2 + (3 * -1 + 4x * -1)) + -2x = -9 + 2(1 + -15x) 7(2 + (-3 + -4x)) + -2x = -9 + 2(1 + -15x) Combine like terms: 2 + -3 = -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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