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Simplifying 4(x + 3) + -2x = 5x + -3(x + -4) Reorder the terms: 4(3 + x) + -2x = 5x + -3(x + -4) (3 * 4 + x * 4) + -2x = 5x + -3(x + -4) (12 + 4x) + -2x = 5x + -3(x + -4) Combine like terms: 4x + -2x = 2x 12 + 2x = 5x + -3(x + -4) Reorder the terms: 12 + 2x = 5x + -3(-4 + x) 12 + 2x = 5x + (-4 * -3 + x * -3) 12 + 2x = 5x + (12 + -3x) Reorder the terms: 12 + 2x = 12 + 5x + -3x Combine like terms: 5x + -3x = 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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