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Simplifying 5(2x + -3) + -8x = 14x + -3(4x + 5) Reorder the terms: 5(-3 + 2x) + -8x = 14x + -3(4x + 5) (-3 * 5 + 2x * 5) + -8x = 14x + -3(4x + 5) (-15 + 10x) + -8x = 14x + -3(4x + 5) Combine like terms: 10x + -8x = 2x -15 + 2x = 14x + -3(4x + 5) Reorder the terms: -15 + 2x = 14x + -3(5 + 4x) -15 + 2x = 14x + (5 * -3 + 4x * -3) -15 + 2x = 14x + (-15 + -12x) Reorder the terms: -15 + 2x = -15 + 14x + -12x Combine like terms: 14x + -12x = 2x -15 + 2x = -15 + 2x Add '15' to each side of the equation. -15 + 15 + 2x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 0 + 2x = -15 + 15 + 2x 2x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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