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