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Simplifying 3(x + -4) + 2 = 5x + -1(2x + 3) + -7 Reorder the terms: 3(-4 + x) + 2 = 5x + -1(2x + 3) + -7 (-4 * 3 + x * 3) + 2 = 5x + -1(2x + 3) + -7 (-12 + 3x) + 2 = 5x + -1(2x + 3) + -7 Reorder the terms: -12 + 2 + 3x = 5x + -1(2x + 3) + -7 Combine like terms: -12 + 2 = -10 -10 + 3x = 5x + -1(2x + 3) + -7 Reorder the terms: -10 + 3x = 5x + -1(3 + 2x) + -7 -10 + 3x = 5x + (3 * -1 + 2x * -1) + -7 -10 + 3x = 5x + (-3 + -2x) + -7 Reorder the terms: -10 + 3x = -3 + -7 + 5x + -2x Combine like terms: -3 + -7 = -10 -10 + 3x = -10 + 5x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = -10 + 3x Add '10' to each side of the equation. -10 + 10 + 3x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + 3x = -10 + 10 + 3x 3x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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