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Simplifying 10 + 4x + 4[2x + (3 + -1x)] = 5 + 2[5 + (x + -2)] Remove parenthesis around (3 + -1x) 10 + 4x + 4[2x + 3 + -1x] = 5 + 2[5 + (x + -2)] Reorder the terms: 10 + 4x + 4[3 + 2x + -1x] = 5 + 2[5 + (x + -2)] Combine like terms: 2x + -1x = 1x 10 + 4x + 4[3 + 1x] = 5 + 2[5 + (x + -2)] 10 + 4x + [3 * 4 + 1x * 4] = 5 + 2[5 + (x + -2)] 10 + 4x + [12 + 4x] = 5 + 2[5 + (x + -2)] Reorder the terms: 10 + 12 + 4x + 4x = 5 + 2[5 + (x + -2)] Combine like terms: 10 + 12 = 22 22 + 4x + 4x = 5 + 2[5 + (x + -2)] Combine like terms: 4x + 4x = 8x 22 + 8x = 5 + 2[5 + (x + -2)] Reorder the terms: 22 + 8x = 5 + 2[5 + (-2 + x)] Remove parenthesis around (-2 + x) 22 + 8x = 5 + 2[5 + -2 + x] Combine like terms: 5 + -2 = 3 22 + 8x = 5 + 2[3 + x] 22 + 8x = 5 + [3 * 2 + x * 2] 22 + 8x = 5 + [6 + 2x] Combine like terms: 5 + 6 = 11 22 + 8x = 11 + 2x Solving 22 + 8x = 11 + 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. 22 + 8x + -2x = 11 + 2x + -2x Combine like terms: 8x + -2x = 6x 22 + 6x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + 6x = 11 + 0 22 + 6x = 11 Add '-22' to each side of the equation. 22 + -22 + 6x = 11 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = 11 + -22 6x = 11 + -22 Combine like terms: 11 + -22 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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