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Simplifying 1 + -2x = 6(x + -3) Reorder the terms: 1 + -2x = 6(-3 + x) 1 + -2x = (-3 * 6 + x * 6) 1 + -2x = (-18 + 6x) Solving 1 + -2x = -18 + 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. 1 + -2x + -6x = -18 + 6x + -6x Combine like terms: -2x + -6x = -8x 1 + -8x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -8x = -18 + 0 1 + -8x = -18 Add '-1' to each side of the equation. 1 + -1 + -8x = -18 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -18 + -1 -8x = -18 + -1 Combine like terms: -18 + -1 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375
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