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Simplifying 3x + 2(x + -4) + 3 = 5x + -5 Reorder the terms: 3x + 2(-4 + x) + 3 = 5x + -5 3x + (-4 * 2 + x * 2) + 3 = 5x + -5 3x + (-8 + 2x) + 3 = 5x + -5 Reorder the terms: -8 + 3 + 3x + 2x = 5x + -5 Combine like terms: -8 + 3 = -5 -5 + 3x + 2x = 5x + -5 Combine like terms: 3x + 2x = 5x -5 + 5x = 5x + -5 Reorder the terms: -5 + 5x = -5 + 5x Add '5' to each side of the equation. -5 + 5 + 5x = -5 + 5 + 5x Combine like terms: -5 + 5 = 0 0 + 5x = -5 + 5 + 5x 5x = -5 + 5 + 5x Combine like terms: -5 + 5 = 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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