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Simplifying 7[3 + -1(5 + 4x)] + -2x = -16 + 2(1 + -15x) 7[3 + (5 * -1 + 4x * -1)] + -2x = -16 + 2(1 + -15x) 7[3 + (-5 + -4x)] + -2x = -16 + 2(1 + -15x) Combine like terms: 3 + -5 = -2 7[-2 + -4x] + -2x = -16 + 2(1 + -15x) [-2 * 7 + -4x * 7] + -2x = -16 + 2(1 + -15x) [-14 + -28x] + -2x = -16 + 2(1 + -15x) Combine like terms: -28x + -2x = -30x -14 + -30x = -16 + 2(1 + -15x) -14 + -30x = -16 + (1 * 2 + -15x * 2) -14 + -30x = -16 + (2 + -30x) Combine like terms: -16 + 2 = -14 -14 + -30x = -14 + -30x Add '14' to each side of the equation. -14 + 14 + -30x = -14 + 14 + -30x Combine like terms: -14 + 14 = 0 0 + -30x = -14 + 14 + -30x -30x = -14 + 14 + -30x Combine like terms: -14 + 14 = 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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