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Simplifying -6(4x + 7) = -2(1 + 2x) Reorder the terms: -6(7 + 4x) = -2(1 + 2x) (7 * -6 + 4x * -6) = -2(1 + 2x) (-42 + -24x) = -2(1 + 2x) -42 + -24x = (1 * -2 + 2x * -2) -42 + -24x = (-2 + -4x) Solving -42 + -24x = -2 + -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. -42 + -24x + 4x = -2 + -4x + 4x Combine like terms: -24x + 4x = -20x -42 + -20x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + -20x = -2 + 0 -42 + -20x = -2 Add '42' to each side of the equation. -42 + 42 + -20x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + -20x = -2 + 42 -20x = -2 + 42 Combine like terms: -2 + 42 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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