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Simplifying (8x + 32) = 2x + 4(x + 4) + -10x Reorder the terms: (32 + 8x) = 2x + 4(x + 4) + -10x Remove parenthesis around (32 + 8x) 32 + 8x = 2x + 4(x + 4) + -10x Reorder the terms: 32 + 8x = 2x + 4(4 + x) + -10x 32 + 8x = 2x + (4 * 4 + x * 4) + -10x 32 + 8x = 2x + (16 + 4x) + -10x Reorder the terms: 32 + 8x = 16 + 2x + 4x + -10x Combine like terms: 2x + 4x = 6x 32 + 8x = 16 + 6x + -10x Combine like terms: 6x + -10x = -4x 32 + 8x = 16 + -4x Solving 32 + 8x = 16 + -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. 32 + 8x + 4x = 16 + -4x + 4x Combine like terms: 8x + 4x = 12x 32 + 12x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + 12x = 16 + 0 32 + 12x = 16 Add '-32' to each side of the equation. 32 + -32 + 12x = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 12x = 16 + -32 12x = 16 + -32 Combine like terms: 16 + -32 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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