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Simplifying 2(2(2(2(2x + -32) + -32) + -32) + -32) + -32 = 0 Reorder the terms: 2(2(2(2(-32 + 2x) + -32) + -32) + -32) + -32 = 0 2(2(2((-32 * 2 + 2x * 2) + -32) + -32) + -32) + -32 = 0 2(2(2((-64 + 4x) + -32) + -32) + -32) + -32 = 0 Reorder the terms: 2(2(2(-64 + -32 + 4x) + -32) + -32) + -32 = 0 Combine like terms: -64 + -32 = -96 2(2(2(-96 + 4x) + -32) + -32) + -32 = 0 2(2((-96 * 2 + 4x * 2) + -32) + -32) + -32 = 0 2(2((-192 + 8x) + -32) + -32) + -32 = 0 Reorder the terms: 2(2(-192 + -32 + 8x) + -32) + -32 = 0 Combine like terms: -192 + -32 = -224 2(2(-224 + 8x) + -32) + -32 = 0 2((-224 * 2 + 8x * 2) + -32) + -32 = 0 2((-448 + 16x) + -32) + -32 = 0 Reorder the terms: 2(-448 + -32 + 16x) + -32 = 0 Combine like terms: -448 + -32 = -480 2(-480 + 16x) + -32 = 0 (-480 * 2 + 16x * 2) + -32 = 0 (-960 + 32x) + -32 = 0 Reorder the terms: -960 + -32 + 32x = 0 Combine like terms: -960 + -32 = -992 -992 + 32x = 0 Solving -992 + 32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '992' to each side of the equation. -992 + 992 + 32x = 0 + 992 Combine like terms: -992 + 992 = 0 0 + 32x = 0 + 992 32x = 0 + 992 Combine like terms: 0 + 992 = 992 32x = 992 Divide each side by '32'. x = 31 Simplifying x = 31
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