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Simplifying -5(x + 3) + 12x = -2(x + 8) + 9x + 1 Reorder the terms: -5(3 + x) + 12x = -2(x + 8) + 9x + 1 (3 * -5 + x * -5) + 12x = -2(x + 8) + 9x + 1 (-15 + -5x) + 12x = -2(x + 8) + 9x + 1 Combine like terms: -5x + 12x = 7x -15 + 7x = -2(x + 8) + 9x + 1 Reorder the terms: -15 + 7x = -2(8 + x) + 9x + 1 -15 + 7x = (8 * -2 + x * -2) + 9x + 1 -15 + 7x = (-16 + -2x) + 9x + 1 Reorder the terms: -15 + 7x = -16 + 1 + -2x + 9x Combine like terms: -16 + 1 = -15 -15 + 7x = -15 + -2x + 9x Combine like terms: -2x + 9x = 7x -15 + 7x = -15 + 7x Add '15' to each side of the equation. -15 + 15 + 7x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 0 + 7x = -15 + 15 + 7x 7x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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