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Simplifying -5(2x + 3) + 3(4x + -2) = 2x + -21 Reorder the terms: -5(3 + 2x) + 3(4x + -2) = 2x + -21 (3 * -5 + 2x * -5) + 3(4x + -2) = 2x + -21 (-15 + -10x) + 3(4x + -2) = 2x + -21 Reorder the terms: -15 + -10x + 3(-2 + 4x) = 2x + -21 -15 + -10x + (-2 * 3 + 4x * 3) = 2x + -21 -15 + -10x + (-6 + 12x) = 2x + -21 Reorder the terms: -15 + -6 + -10x + 12x = 2x + -21 Combine like terms: -15 + -6 = -21 -21 + -10x + 12x = 2x + -21 Combine like terms: -10x + 12x = 2x -21 + 2x = 2x + -21 Reorder the terms: -21 + 2x = -21 + 2x Add '21' to each side of the equation. -21 + 21 + 2x = -21 + 21 + 2x Combine like terms: -21 + 21 = 0 0 + 2x = -21 + 21 + 2x 2x = -21 + 21 + 2x Combine like terms: -21 + 21 = 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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