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Simplifying -2[5 + -2x + 1] + -4 = 2(3 + -1x) Reorder the terms: -2[5 + 1 + -2x] + -4 = 2(3 + -1x) Combine like terms: 5 + 1 = 6 -2[6 + -2x] + -4 = 2(3 + -1x) [6 * -2 + -2x * -2] + -4 = 2(3 + -1x) [-12 + 4x] + -4 = 2(3 + -1x) Reorder the terms: -12 + -4 + 4x = 2(3 + -1x) Combine like terms: -12 + -4 = -16 -16 + 4x = 2(3 + -1x) -16 + 4x = (3 * 2 + -1x * 2) -16 + 4x = (6 + -2x) Solving -16 + 4x = 6 + -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. -16 + 4x + 2x = 6 + -2x + 2x Combine like terms: 4x + 2x = 6x -16 + 6x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 6x = 6 + 0 -16 + 6x = 6 Add '16' to each side of the equation. -16 + 16 + 6x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 6 + 16 6x = 6 + 16 Combine like terms: 6 + 16 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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