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Simplifying 2[5x + 2] = 6[2x + -3] Reorder the terms: 2[2 + 5x] = 6[2x + -3] [2 * 2 + 5x * 2] = 6[2x + -3] [4 + 10x] = 6[2x + -3] Reorder the terms: 4 + 10x = 6[-3 + 2x] 4 + 10x = [-3 * 6 + 2x * 6] 4 + 10x = [-18 + 12x] Solving 4 + 10x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 10x + -12x = -18 + 12x + -12x Combine like terms: 10x + -12x = -2x 4 + -2x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -2x = -18 + 0 4 + -2x = -18 Add '-4' to each side of the equation. 4 + -4 + -2x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -18 + -4 -2x = -18 + -4 Combine like terms: -18 + -4 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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