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Simplifying 10(-3x + 4) = -5(6x + -8) Reorder the terms: 10(4 + -3x) = -5(6x + -8) (4 * 10 + -3x * 10) = -5(6x + -8) (40 + -30x) = -5(6x + -8) Reorder the terms: 40 + -30x = -5(-8 + 6x) 40 + -30x = (-8 * -5 + 6x * -5) 40 + -30x = (40 + -30x) Add '-40' to each side of the equation. 40 + -40 + -30x = 40 + -40 + -30x Combine like terms: 40 + -40 = 0 0 + -30x = 40 + -40 + -30x -30x = 40 + -40 + -30x Combine like terms: 40 + -40 = 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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