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Simplifying 6x + -1(25 + 4x) = 5x + -1(3x + 15) + -10 6x + (25 * -1 + 4x * -1) = 5x + -1(3x + 15) + -10 6x + (-25 + -4x) = 5x + -1(3x + 15) + -10 Reorder the terms: -25 + 6x + -4x = 5x + -1(3x + 15) + -10 Combine like terms: 6x + -4x = 2x -25 + 2x = 5x + -1(3x + 15) + -10 Reorder the terms: -25 + 2x = 5x + -1(15 + 3x) + -10 -25 + 2x = 5x + (15 * -1 + 3x * -1) + -10 -25 + 2x = 5x + (-15 + -3x) + -10 Reorder the terms: -25 + 2x = -15 + -10 + 5x + -3x Combine like terms: -15 + -10 = -25 -25 + 2x = -25 + 5x + -3x Combine like terms: 5x + -3x = 2x -25 + 2x = -25 + 2x Add '25' to each side of the equation. -25 + 25 + 2x = -25 + 25 + 2x Combine like terms: -25 + 25 = 0 0 + 2x = -25 + 25 + 2x 2x = -25 + 25 + 2x Combine like terms: -25 + 25 = 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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