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Simplifying 8x + -1[2x + -3(x + 2)] + 4(x + 1) = 36 Reorder the terms: 8x + -1[2x + -3(2 + x)] + 4(x + 1) = 36 8x + -1[2x + (2 * -3 + x * -3)] + 4(x + 1) = 36 8x + -1[2x + (-6 + -3x)] + 4(x + 1) = 36 Reorder the terms: 8x + -1[-6 + 2x + -3x] + 4(x + 1) = 36 Combine like terms: 2x + -3x = -1x 8x + -1[-6 + -1x] + 4(x + 1) = 36 8x + [-6 * -1 + -1x * -1] + 4(x + 1) = 36 8x + [6 + 1x] + 4(x + 1) = 36 Reorder the terms: 8x + 6 + 1x + 4(1 + x) = 36 8x + 6 + 1x + (1 * 4 + x * 4) = 36 8x + 6 + 1x + (4 + 4x) = 36 Reorder the terms: 6 + 4 + 8x + 1x + 4x = 36 Combine like terms: 6 + 4 = 10 10 + 8x + 1x + 4x = 36 Combine like terms: 8x + 1x = 9x 10 + 9x + 4x = 36 Combine like terms: 9x + 4x = 13x 10 + 13x = 36 Solving 10 + 13x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 13x = 36 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 36 + -10 13x = 36 + -10 Combine like terms: 36 + -10 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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