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Simplifying 0.25[4x + 7] = 8x + 16 Reorder the terms: 0.25[7 + 4x] = 8x + 16 [7 * 0.25 + 4x * 0.25] = 8x + 16 [1.75 + 1x] = 8x + 16 Reorder the terms: 1.75 + 1x = 16 + 8x Solving 1.75 + 1x = 16 + 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. 1.75 + 1x + -8x = 16 + 8x + -8x Combine like terms: 1x + -8x = -7x 1.75 + -7x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 1.75 + -7x = 16 + 0 1.75 + -7x = 16 Add '-1.75' to each side of the equation. 1.75 + -1.75 + -7x = 16 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -7x = 16 + -1.75 -7x = 16 + -1.75 Combine like terms: 16 + -1.75 = 14.25 -7x = 14.25 Divide each side by '-7'. x = -2.035714286 Simplifying x = -2.035714286
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