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Simplifying 7(4x + -6) + 5x = 4x + -42 + 29x Reorder the terms: 7(-6 + 4x) + 5x = 4x + -42 + 29x (-6 * 7 + 4x * 7) + 5x = 4x + -42 + 29x (-42 + 28x) + 5x = 4x + -42 + 29x Combine like terms: 28x + 5x = 33x -42 + 33x = 4x + -42 + 29x Reorder the terms: -42 + 33x = -42 + 4x + 29x Combine like terms: 4x + 29x = 33x -42 + 33x = -42 + 33x Add '42' to each side of the equation. -42 + 42 + 33x = -42 + 42 + 33x Combine like terms: -42 + 42 = 0 0 + 33x = -42 + 42 + 33x 33x = -42 + 42 + 33x Combine like terms: -42 + 42 = 0 33x = 0 + 33x 33x = 33x Add '-33x' to each side of the equation. 33x + -33x = 33x + -33x Combine like terms: 33x + -33x = 0 0 = 33x + -33x Combine like terms: 33x + -33x = 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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