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Simplifying 7(x + -3) + -4(x + 2) = 3(x + -7) + -8 Reorder the terms: 7(-3 + x) + -4(x + 2) = 3(x + -7) + -8 (-3 * 7 + x * 7) + -4(x + 2) = 3(x + -7) + -8 (-21 + 7x) + -4(x + 2) = 3(x + -7) + -8 Reorder the terms: -21 + 7x + -4(2 + x) = 3(x + -7) + -8 -21 + 7x + (2 * -4 + x * -4) = 3(x + -7) + -8 -21 + 7x + (-8 + -4x) = 3(x + -7) + -8 Reorder the terms: -21 + -8 + 7x + -4x = 3(x + -7) + -8 Combine like terms: -21 + -8 = -29 -29 + 7x + -4x = 3(x + -7) + -8 Combine like terms: 7x + -4x = 3x -29 + 3x = 3(x + -7) + -8 Reorder the terms: -29 + 3x = 3(-7 + x) + -8 -29 + 3x = (-7 * 3 + x * 3) + -8 -29 + 3x = (-21 + 3x) + -8 Reorder the terms: -29 + 3x = -21 + -8 + 3x Combine like terms: -21 + -8 = -29 -29 + 3x = -29 + 3x Add '29' to each side of the equation. -29 + 29 + 3x = -29 + 29 + 3x Combine like terms: -29 + 29 = 0 0 + 3x = -29 + 29 + 3x 3x = -29 + 29 + 3x Combine like terms: -29 + 29 = 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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