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Simplifying 8(x + -2) + 2x = 2(2x + 16) Reorder the terms: 8(-2 + x) + 2x = 2(2x + 16) (-2 * 8 + x * 8) + 2x = 2(2x + 16) (-16 + 8x) + 2x = 2(2x + 16) Combine like terms: 8x + 2x = 10x -16 + 10x = 2(2x + 16) Reorder the terms: -16 + 10x = 2(16 + 2x) -16 + 10x = (16 * 2 + 2x * 2) -16 + 10x = (32 + 4x) Solving -16 + 10x = 32 + 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. -16 + 10x + -4x = 32 + 4x + -4x Combine like terms: 10x + -4x = 6x -16 + 6x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 6x = 32 + 0 -16 + 6x = 32 Add '16' to each side of the equation. -16 + 16 + 6x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 32 + 16 6x = 32 + 16 Combine like terms: 32 + 16 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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