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Simplifying 10x + -17 = 0.25(16x + 52) Reorder the terms: -17 + 10x = 0.25(16x + 52) Reorder the terms: -17 + 10x = 0.25(52 + 16x) -17 + 10x = (52 * 0.25 + 16x * 0.25) -17 + 10x = (13 + 4x) Solving -17 + 10x = 13 + 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. -17 + 10x + -4x = 13 + 4x + -4x Combine like terms: 10x + -4x = 6x -17 + 6x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 6x = 13 + 0 -17 + 6x = 13 Add '17' to each side of the equation. -17 + 17 + 6x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 6x = 13 + 17 6x = 13 + 17 Combine like terms: 13 + 17 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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