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Simplifying 5(3x + 6) + -2x = 15x + -2(x + -15) Reorder the terms: 5(6 + 3x) + -2x = 15x + -2(x + -15) (6 * 5 + 3x * 5) + -2x = 15x + -2(x + -15) (30 + 15x) + -2x = 15x + -2(x + -15) Combine like terms: 15x + -2x = 13x 30 + 13x = 15x + -2(x + -15) Reorder the terms: 30 + 13x = 15x + -2(-15 + x) 30 + 13x = 15x + (-15 * -2 + x * -2) 30 + 13x = 15x + (30 + -2x) Reorder the terms: 30 + 13x = 30 + 15x + -2x Combine like terms: 15x + -2x = 13x 30 + 13x = 30 + 13x Add '-30' to each side of the equation. 30 + -30 + 13x = 30 + -30 + 13x Combine like terms: 30 + -30 = 0 0 + 13x = 30 + -30 + 13x 13x = 30 + -30 + 13x Combine like terms: 30 + -30 = 0 13x = 0 + 13x 13x = 13x Add '-13x' to each side of the equation. 13x + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 0 = 13x + -13x Combine like terms: 13x + -13x = 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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