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Simplifying 6 + (2 + -4x) + 5 = 3(1 + -3x) Remove parenthesis around (2 + -4x) 6 + 2 + -4x + 5 = 3(1 + -3x) Reorder the terms: 6 + 2 + 5 + -4x = 3(1 + -3x) Combine like terms: 6 + 2 = 8 8 + 5 + -4x = 3(1 + -3x) Combine like terms: 8 + 5 = 13 13 + -4x = 3(1 + -3x) 13 + -4x = (1 * 3 + -3x * 3) 13 + -4x = (3 + -9x) Solving 13 + -4x = 3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 13 + -4x + 9x = 3 + -9x + 9x Combine like terms: -4x + 9x = 5x 13 + 5x = 3 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + 5x = 3 + 0 13 + 5x = 3 Add '-13' to each side of the equation. 13 + -13 + 5x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 3 + -13 5x = 3 + -13 Combine like terms: 3 + -13 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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