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Simplifying -4(4x + 1) + 3(-1 + 7x) = x + 1 + 4x + -8 Reorder the terms: -4(1 + 4x) + 3(-1 + 7x) = x + 1 + 4x + -8 (1 * -4 + 4x * -4) + 3(-1 + 7x) = x + 1 + 4x + -8 (-4 + -16x) + 3(-1 + 7x) = x + 1 + 4x + -8 -4 + -16x + (-1 * 3 + 7x * 3) = x + 1 + 4x + -8 -4 + -16x + (-3 + 21x) = x + 1 + 4x + -8 Reorder the terms: -4 + -3 + -16x + 21x = x + 1 + 4x + -8 Combine like terms: -4 + -3 = -7 -7 + -16x + 21x = x + 1 + 4x + -8 Combine like terms: -16x + 21x = 5x -7 + 5x = x + 1 + 4x + -8 Reorder the terms: -7 + 5x = 1 + -8 + x + 4x Combine like terms: 1 + -8 = -7 -7 + 5x = -7 + x + 4x Combine like terms: x + 4x = 5x -7 + 5x = -7 + 5x Add '7' to each side of the equation. -7 + 7 + 5x = -7 + 7 + 5x Combine like terms: -7 + 7 = 0 0 + 5x = -7 + 7 + 5x 5x = -7 + 7 + 5x Combine like terms: -7 + 7 = 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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