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Simplifying 4(5x + 7 + -8x) + 2 = -3(4x + -10) Reorder the terms: 4(7 + 5x + -8x) + 2 = -3(4x + -10) Combine like terms: 5x + -8x = -3x 4(7 + -3x) + 2 = -3(4x + -10) (7 * 4 + -3x * 4) + 2 = -3(4x + -10) (28 + -12x) + 2 = -3(4x + -10) Reorder the terms: 28 + 2 + -12x = -3(4x + -10) Combine like terms: 28 + 2 = 30 30 + -12x = -3(4x + -10) Reorder the terms: 30 + -12x = -3(-10 + 4x) 30 + -12x = (-10 * -3 + 4x * -3) 30 + -12x = (30 + -12x) Add '-30' to each side of the equation. 30 + -30 + -12x = 30 + -30 + -12x Combine like terms: 30 + -30 = 0 0 + -12x = 30 + -30 + -12x -12x = 30 + -30 + -12x Combine like terms: 30 + -30 = 0 -12x = 0 + -12x -12x = -12x Add '12x' to each side of the equation. -12x + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 0 = -12x + 12x Combine like terms: -12x + 12x = 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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