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Simplifying -5(x + 6) + 3x = 7 + 12x + -37 + (-14x) Reorder the terms: -5(6 + x) + 3x = 7 + 12x + -37 + (-14x) (6 * -5 + x * -5) + 3x = 7 + 12x + -37 + (-14x) (-30 + -5x) + 3x = 7 + 12x + -37 + (-14x) Combine like terms: -5x + 3x = -2x -30 + -2x = 7 + 12x + -37 + (-14x) Reorder the terms: -30 + -2x = 7 + -37 + 12x + (-14x) Combine like terms: 7 + -37 = -30 -30 + -2x = -30 + 12x + (-14x) Combine like terms: 12x + (-14x) = -2x -30 + -2x = -30 + -2x Add '30' to each side of the equation. -30 + 30 + -2x = -30 + 30 + -2x Combine like terms: -30 + 30 = 0 0 + -2x = -30 + 30 + -2x -2x = -30 + 30 + -2x Combine like terms: -30 + 30 = 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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