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Simplifying 30x + 15 = 4(6x + 3) + 6x + 3 Reorder the terms: 15 + 30x = 4(6x + 3) + 6x + 3 Reorder the terms: 15 + 30x = 4(3 + 6x) + 6x + 3 15 + 30x = (3 * 4 + 6x * 4) + 6x + 3 15 + 30x = (12 + 24x) + 6x + 3 Reorder the terms: 15 + 30x = 12 + 3 + 24x + 6x Combine like terms: 12 + 3 = 15 15 + 30x = 15 + 24x + 6x Combine like terms: 24x + 6x = 30x 15 + 30x = 15 + 30x Add '-15' to each side of the equation. 15 + -15 + 30x = 15 + -15 + 30x Combine like terms: 15 + -15 = 0 0 + 30x = 15 + -15 + 30x 30x = 15 + -15 + 30x Combine like terms: 15 + -15 = 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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