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Simplifying -2x + 1 = 4(x + 3) Reorder the terms: 1 + -2x = 4(x + 3) Reorder the terms: 1 + -2x = 4(3 + x) 1 + -2x = (3 * 4 + x * 4) 1 + -2x = (12 + 4x) Solving 1 + -2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -2x + -4x = 12 + 4x + -4x Combine like terms: -2x + -4x = -6x 1 + -6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -6x = 12 + 0 1 + -6x = 12 Add '-1' to each side of the equation. 1 + -1 + -6x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 12 + -1 -6x = 12 + -1 Combine like terms: 12 + -1 = 11 -6x = 11 Divide each side by '-6'. x = -1.833333333 Simplifying x = -1.833333333
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