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Simplifying 3(x + -5) + 2x = 4(x + -4) + x + 1 Reorder the terms: 3(-5 + x) + 2x = 4(x + -4) + x + 1 (-5 * 3 + x * 3) + 2x = 4(x + -4) + x + 1 (-15 + 3x) + 2x = 4(x + -4) + x + 1 Combine like terms: 3x + 2x = 5x -15 + 5x = 4(x + -4) + x + 1 Reorder the terms: -15 + 5x = 4(-4 + x) + x + 1 -15 + 5x = (-4 * 4 + x * 4) + x + 1 -15 + 5x = (-16 + 4x) + x + 1 Reorder the terms: -15 + 5x = -16 + 1 + 4x + x Combine like terms: -16 + 1 = -15 -15 + 5x = -15 + 4x + x Combine like terms: 4x + x = 5x -15 + 5x = -15 + 5x Add '15' to each side of the equation. -15 + 15 + 5x = -15 + 15 + 5x Combine like terms: -15 + 15 = 0 0 + 5x = -15 + 15 + 5x 5x = -15 + 15 + 5x Combine like terms: -15 + 15 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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