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Simplifying 6x + -7 + 5[3(2x + -1) + 2] = 3x + 21 Reorder the terms: 6x + -7 + 5[3(-1 + 2x) + 2] = 3x + 21 6x + -7 + 5[(-1 * 3 + 2x * 3) + 2] = 3x + 21 6x + -7 + 5[(-3 + 6x) + 2] = 3x + 21 Reorder the terms: 6x + -7 + 5[-3 + 2 + 6x] = 3x + 21 Combine like terms: -3 + 2 = -1 6x + -7 + 5[-1 + 6x] = 3x + 21 6x + -7 + [-1 * 5 + 6x * 5] = 3x + 21 6x + -7 + [-5 + 30x] = 3x + 21 Reorder the terms: -7 + -5 + 6x + 30x = 3x + 21 Combine like terms: -7 + -5 = -12 -12 + 6x + 30x = 3x + 21 Combine like terms: 6x + 30x = 36x -12 + 36x = 3x + 21 Reorder the terms: -12 + 36x = 21 + 3x Solving -12 + 36x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 36x + -3x = 21 + 3x + -3x Combine like terms: 36x + -3x = 33x -12 + 33x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 33x = 21 + 0 -12 + 33x = 21 Add '12' to each side of the equation. -12 + 12 + 33x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 33x = 21 + 12 33x = 21 + 12 Combine like terms: 21 + 12 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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