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Simplifying 5(3x + -6) + -7 = 15x + -37 Reorder the terms: 5(-6 + 3x) + -7 = 15x + -37 (-6 * 5 + 3x * 5) + -7 = 15x + -37 (-30 + 15x) + -7 = 15x + -37 Reorder the terms: -30 + -7 + 15x = 15x + -37 Combine like terms: -30 + -7 = -37 -37 + 15x = 15x + -37 Reorder the terms: -37 + 15x = -37 + 15x Add '37' to each side of the equation. -37 + 37 + 15x = -37 + 37 + 15x Combine like terms: -37 + 37 = 0 0 + 15x = -37 + 37 + 15x 15x = -37 + 37 + 15x Combine like terms: -37 + 37 = 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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