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Simplifying 16x + -3(4x + -7) = 6x + -1(2x + 21) Reorder the terms: 16x + -3(-7 + 4x) = 6x + -1(2x + 21) 16x + (-7 * -3 + 4x * -3) = 6x + -1(2x + 21) 16x + (21 + -12x) = 6x + -1(2x + 21) Reorder the terms: 21 + 16x + -12x = 6x + -1(2x + 21) Combine like terms: 16x + -12x = 4x 21 + 4x = 6x + -1(2x + 21) Reorder the terms: 21 + 4x = 6x + -1(21 + 2x) 21 + 4x = 6x + (21 * -1 + 2x * -1) 21 + 4x = 6x + (-21 + -2x) Reorder the terms: 21 + 4x = -21 + 6x + -2x Combine like terms: 6x + -2x = 4x 21 + 4x = -21 + 4x Add '-4x' to each side of the equation. 21 + 4x + -4x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 0 = -21 + 4x + -4x 21 = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 21 = -21 + 0 21 = -21 Solving 21 = -21 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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