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Simplifying 3(x + -4) + 2x = 5(x + 5) + -37 Reorder the terms: 3(-4 + x) + 2x = 5(x + 5) + -37 (-4 * 3 + x * 3) + 2x = 5(x + 5) + -37 (-12 + 3x) + 2x = 5(x + 5) + -37 Combine like terms: 3x + 2x = 5x -12 + 5x = 5(x + 5) + -37 Reorder the terms: -12 + 5x = 5(5 + x) + -37 -12 + 5x = (5 * 5 + x * 5) + -37 -12 + 5x = (25 + 5x) + -37 Reorder the terms: -12 + 5x = 25 + -37 + 5x Combine like terms: 25 + -37 = -12 -12 + 5x = -12 + 5x Add '12' to each side of the equation. -12 + 12 + 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + 5x = -12 + 12 + 5x 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 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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