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Simplifying 3(B + x + -4x) + 3 = -1x + 2(-1x + 14x) Combine like terms: x + -4x = -3x 3(B + -3x) + 3 = -1x + 2(-1x + 14x) (B * 3 + -3x * 3) + 3 = -1x + 2(-1x + 14x) (3B + -9x) + 3 = -1x + 2(-1x + 14x) Reorder the terms: 3 + 3B + -9x = -1x + 2(-1x + 14x) Combine like terms: -1x + 14x = 13x 3 + 3B + -9x = -1x + 2(13x) Remove parenthesis around (13x) 3 + 3B + -9x = -1x + 2 * 13x Multiply 2 * 13 3 + 3B + -9x = -1x + 26x Combine like terms: -1x + 26x = 25x 3 + 3B + -9x = 25x Solving 3 + 3B + -9x = 25x Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3B + -3 + -9x = -3 + 25x Reorder the terms: 3 + -3 + 3B + -9x = -3 + 25x Combine like terms: 3 + -3 = 0 0 + 3B + -9x = -3 + 25x 3B + -9x = -3 + 25x Add '9x' to each side of the equation. 3B + -9x + 9x = -3 + 25x + 9x Combine like terms: -9x + 9x = 0 3B + 0 = -3 + 25x + 9x 3B = -3 + 25x + 9x Combine like terms: 25x + 9x = 34x 3B = -3 + 34x Divide each side by '3'. B = -1 + 11.33333333x Simplifying B = -1 + 11.33333333x
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