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