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Simplifying 1 + 6x = 4(3x + 38) + -1x Reorder the terms: 1 + 6x = 4(38 + 3x) + -1x 1 + 6x = (38 * 4 + 3x * 4) + -1x 1 + 6x = (152 + 12x) + -1x Combine like terms: 12x + -1x = 11x 1 + 6x = 152 + 11x Solving 1 + 6x = 152 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 1 + 6x + -11x = 152 + 11x + -11x Combine like terms: 6x + -11x = -5x 1 + -5x = 152 + 11x + -11x Combine like terms: 11x + -11x = 0 1 + -5x = 152 + 0 1 + -5x = 152 Add '-1' to each side of the equation. 1 + -1 + -5x = 152 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 152 + -1 -5x = 152 + -1 Combine like terms: 152 + -1 = 151 -5x = 151 Divide each side by '-5'. x = -30.2 Simplifying x = -30.2
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