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Simplifying 4(3x + -2) + 27 = 6x + 1 Reorder the terms: 4(-2 + 3x) + 27 = 6x + 1 (-2 * 4 + 3x * 4) + 27 = 6x + 1 (-8 + 12x) + 27 = 6x + 1 Reorder the terms: -8 + 27 + 12x = 6x + 1 Combine like terms: -8 + 27 = 19 19 + 12x = 6x + 1 Reorder the terms: 19 + 12x = 1 + 6x Solving 19 + 12x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 19 + 12x + -6x = 1 + 6x + -6x Combine like terms: 12x + -6x = 6x 19 + 6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + 6x = 1 + 0 19 + 6x = 1 Add '-19' to each side of the equation. 19 + -19 + 6x = 1 + -19 Combine like terms: 19 + -19 = 0 0 + 6x = 1 + -19 6x = 1 + -19 Combine like terms: 1 + -19 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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