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Simplifying -1(6x + -1(2x + 6)) = -3(4(2x + -4) + -2x) Reorder the terms: -1(6x + -1(6 + 2x)) = -3(4(2x + -4) + -2x) -1(6x + (6 * -1 + 2x * -1)) = -3(4(2x + -4) + -2x) -1(6x + (-6 + -2x)) = -3(4(2x + -4) + -2x) Reorder the terms: -1(-6 + 6x + -2x) = -3(4(2x + -4) + -2x) Combine like terms: 6x + -2x = 4x -1(-6 + 4x) = -3(4(2x + -4) + -2x) (-6 * -1 + 4x * -1) = -3(4(2x + -4) + -2x) (6 + -4x) = -3(4(2x + -4) + -2x) Reorder the terms: 6 + -4x = -3(4(-4 + 2x) + -2x) 6 + -4x = -3((-4 * 4 + 2x * 4) + -2x) 6 + -4x = -3((-16 + 8x) + -2x) Combine like terms: 8x + -2x = 6x 6 + -4x = -3(-16 + 6x) 6 + -4x = (-16 * -3 + 6x * -3) 6 + -4x = (48 + -18x) Solving 6 + -4x = 48 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 6 + -4x + 18x = 48 + -18x + 18x Combine like terms: -4x + 18x = 14x 6 + 14x = 48 + -18x + 18x Combine like terms: -18x + 18x = 0 6 + 14x = 48 + 0 6 + 14x = 48 Add '-6' to each side of the equation. 6 + -6 + 14x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 48 + -6 14x = 48 + -6 Combine like terms: 48 + -6 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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