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Simplifying 4(4x + 2) = 10x + 4 + -2x Reorder the terms: 4(2 + 4x) = 10x + 4 + -2x (2 * 4 + 4x * 4) = 10x + 4 + -2x (8 + 16x) = 10x + 4 + -2x Reorder the terms: 8 + 16x = 4 + 10x + -2x Combine like terms: 10x + -2x = 8x 8 + 16x = 4 + 8x Solving 8 + 16x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 16x + -8x = 4 + 8x + -8x Combine like terms: 16x + -8x = 8x 8 + 8x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 8x = 4 + 0 8 + 8x = 4 Add '-8' to each side of the equation. 8 + -8 + 8x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 4 + -8 8x = 4 + -8 Combine like terms: 4 + -8 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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