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Simplifying 6x + 3(8 + -1x) + -21 = 4(6 + -1x) + 7(x + -3) 6x + (8 * 3 + -1x * 3) + -21 = 4(6 + -1x) + 7(x + -3) 6x + (24 + -3x) + -21 = 4(6 + -1x) + 7(x + -3) Reorder the terms: 24 + -21 + 6x + -3x = 4(6 + -1x) + 7(x + -3) Combine like terms: 24 + -21 = 3 3 + 6x + -3x = 4(6 + -1x) + 7(x + -3) Combine like terms: 6x + -3x = 3x 3 + 3x = 4(6 + -1x) + 7(x + -3) 3 + 3x = (6 * 4 + -1x * 4) + 7(x + -3) 3 + 3x = (24 + -4x) + 7(x + -3) Reorder the terms: 3 + 3x = 24 + -4x + 7(-3 + x) 3 + 3x = 24 + -4x + (-3 * 7 + x * 7) 3 + 3x = 24 + -4x + (-21 + 7x) Reorder the terms: 3 + 3x = 24 + -21 + -4x + 7x Combine like terms: 24 + -21 = 3 3 + 3x = 3 + -4x + 7x Combine like terms: -4x + 7x = 3x 3 + 3x = 3 + 3x Add '-3' to each side of the equation. 3 + -3 + 3x = 3 + -3 + 3x Combine like terms: 3 + -3 = 0 0 + 3x = 3 + -3 + 3x 3x = 3 + -3 + 3x Combine like terms: 3 + -3 = 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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