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Simplifying 47x + -33 = 7(6x + -4) + 5x + -5 Reorder the terms: -33 + 47x = 7(6x + -4) + 5x + -5 Reorder the terms: -33 + 47x = 7(-4 + 6x) + 5x + -5 -33 + 47x = (-4 * 7 + 6x * 7) + 5x + -5 -33 + 47x = (-28 + 42x) + 5x + -5 Reorder the terms: -33 + 47x = -28 + -5 + 42x + 5x Combine like terms: -28 + -5 = -33 -33 + 47x = -33 + 42x + 5x Combine like terms: 42x + 5x = 47x -33 + 47x = -33 + 47x Add '33' to each side of the equation. -33 + 33 + 47x = -33 + 33 + 47x Combine like terms: -33 + 33 = 0 0 + 47x = -33 + 33 + 47x 47x = -33 + 33 + 47x Combine like terms: -33 + 33 = 0 47x = 0 + 47x 47x = 47x Add '-47x' to each side of the equation. 47x + -47x = 47x + -47x Combine like terms: 47x + -47x = 0 0 = 47x + -47x Combine like terms: 47x + -47x = 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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