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Simplifying 15x + 40 = 6(2x + 6) + 3x + 4 Reorder the terms: 40 + 15x = 6(2x + 6) + 3x + 4 Reorder the terms: 40 + 15x = 6(6 + 2x) + 3x + 4 40 + 15x = (6 * 6 + 2x * 6) + 3x + 4 40 + 15x = (36 + 12x) + 3x + 4 Reorder the terms: 40 + 15x = 36 + 4 + 12x + 3x Combine like terms: 36 + 4 = 40 40 + 15x = 40 + 12x + 3x Combine like terms: 12x + 3x = 15x 40 + 15x = 40 + 15x Add '-40' to each side of the equation. 40 + -40 + 15x = 40 + -40 + 15x Combine like terms: 40 + -40 = 0 0 + 15x = 40 + -40 + 15x 15x = 40 + -40 + 15x Combine like terms: 40 + -40 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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