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Simplifying 6(1 + -4x) = -2x + -38 (1 * 6 + -4x * 6) = -2x + -38 (6 + -24x) = -2x + -38 Reorder the terms: 6 + -24x = -38 + -2x Solving 6 + -24x = -38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -24x + 2x = -38 + -2x + 2x Combine like terms: -24x + 2x = -22x 6 + -22x = -38 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -22x = -38 + 0 6 + -22x = -38 Add '-6' to each side of the equation. 6 + -6 + -22x = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -22x = -38 + -6 -22x = -38 + -6 Combine like terms: -38 + -6 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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