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Simplifying 8(2 + -1x) * 2 = 2(8 + -1x) * 2 Reorder the terms for easier multiplication: 8 * 2(2 + -1x) = 2(8 + -1x) * 2 Multiply 8 * 2 16(2 + -1x) = 2(8 + -1x) * 2 (2 * 16 + -1x * 16) = 2(8 + -1x) * 2 (32 + -16x) = 2(8 + -1x) * 2 Reorder the terms for easier multiplication: 32 + -16x = 2 * 2(8 + -1x) Multiply 2 * 2 32 + -16x = 4(8 + -1x) 32 + -16x = (8 * 4 + -1x * 4) 32 + -16x = (32 + -4x) Add '-32' to each side of the equation. 32 + -32 + -16x = 32 + -32 + -4x Combine like terms: 32 + -32 = 0 0 + -16x = 32 + -32 + -4x -16x = 32 + -32 + -4x Combine like terms: 32 + -32 = 0 -16x = 0 + -4x -16x = -4x Solving -16x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -16x + 4x = -4x + 4x Combine like terms: -16x + 4x = -12x -12x = -4x + 4x Combine like terms: -4x + 4x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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