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Simplifying 2[x + 6] = 2[-1x + 6.5] Reorder the terms: 2[6 + x] = 2[-1x + 6.5] [6 * 2 + x * 2] = 2[-1x + 6.5] [12 + 2x] = 2[-1x + 6.5] Reorder the terms: 12 + 2x = 2[6.5 + -1x] 12 + 2x = [6.5 * 2 + -1x * 2] 12 + 2x = [13 + -2x] Solving 12 + 2x = 13 + -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. 12 + 2x + 2x = 13 + -2x + 2x Combine like terms: 2x + 2x = 4x 12 + 4x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 4x = 13 + 0 12 + 4x = 13 Add '-12' to each side of the equation. 12 + -12 + 4x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 13 + -12 4x = 13 + -12 Combine like terms: 13 + -12 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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