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Simplifying 4(8 + -1x) + -47 = 16x + -5(3 + 4x) (8 * 4 + -1x * 4) + -47 = 16x + -5(3 + 4x) (32 + -4x) + -47 = 16x + -5(3 + 4x) Reorder the terms: 32 + -47 + -4x = 16x + -5(3 + 4x) Combine like terms: 32 + -47 = -15 -15 + -4x = 16x + -5(3 + 4x) -15 + -4x = 16x + (3 * -5 + 4x * -5) -15 + -4x = 16x + (-15 + -20x) Reorder the terms: -15 + -4x = -15 + 16x + -20x Combine like terms: 16x + -20x = -4x -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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