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Simplifying 45x + -40 = 7(6x + -5) + 3x + -5 Reorder the terms: -40 + 45x = 7(6x + -5) + 3x + -5 Reorder the terms: -40 + 45x = 7(-5 + 6x) + 3x + -5 -40 + 45x = (-5 * 7 + 6x * 7) + 3x + -5 -40 + 45x = (-35 + 42x) + 3x + -5 Reorder the terms: -40 + 45x = -35 + -5 + 42x + 3x Combine like terms: -35 + -5 = -40 -40 + 45x = -40 + 42x + 3x Combine like terms: 42x + 3x = 45x -40 + 45x = -40 + 45x Add '40' to each side of the equation. -40 + 40 + 45x = -40 + 40 + 45x Combine like terms: -40 + 40 = 0 0 + 45x = -40 + 40 + 45x 45x = -40 + 40 + 45x Combine like terms: -40 + 40 = 0 45x = 0 + 45x 45x = 45x Add '-45x' to each side of the equation. 45x + -45x = 45x + -45x Combine like terms: 45x + -45x = 0 0 = 45x + -45x Combine like terms: 45x + -45x = 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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