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Simplifying 4(3x + 3) + 6(3x + 5) + 3 = 30x + 45 Reorder the terms: 4(3 + 3x) + 6(3x + 5) + 3 = 30x + 45 (3 * 4 + 3x * 4) + 6(3x + 5) + 3 = 30x + 45 (12 + 12x) + 6(3x + 5) + 3 = 30x + 45 Reorder the terms: 12 + 12x + 6(5 + 3x) + 3 = 30x + 45 12 + 12x + (5 * 6 + 3x * 6) + 3 = 30x + 45 12 + 12x + (30 + 18x) + 3 = 30x + 45 Reorder the terms: 12 + 30 + 3 + 12x + 18x = 30x + 45 Combine like terms: 12 + 30 = 42 42 + 3 + 12x + 18x = 30x + 45 Combine like terms: 42 + 3 = 45 45 + 12x + 18x = 30x + 45 Combine like terms: 12x + 18x = 30x 45 + 30x = 30x + 45 Reorder the terms: 45 + 30x = 45 + 30x Add '-45' to each side of the equation. 45 + -45 + 30x = 45 + -45 + 30x Combine like terms: 45 + -45 = 0 0 + 30x = 45 + -45 + 30x 30x = 45 + -45 + 30x Combine like terms: 45 + -45 = 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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