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Simplifying 2(x + 4) + 10X = 4(2x + 7) Reorder the terms: 2(4 + x) + 10X = 4(2x + 7) (4 * 2 + x * 2) + 10X = 4(2x + 7) (8 + 2x) + 10X = 4(2x + 7) Reorder the terms: 8 + 10X + 2x = 4(2x + 7) Reorder the terms: 8 + 10X + 2x = 4(7 + 2x) 8 + 10X + 2x = (7 * 4 + 2x * 4) 8 + 10X + 2x = (28 + 8x) Solving 8 + 10X + 2x = 28 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 10X + -8 + 2x = 28 + -8 + 8x Reorder the terms: 8 + -8 + 10X + 2x = 28 + -8 + 8x Combine like terms: 8 + -8 = 0 0 + 10X + 2x = 28 + -8 + 8x 10X + 2x = 28 + -8 + 8x Combine like terms: 28 + -8 = 20 10X + 2x = 20 + 8x Add '-2x' to each side of the equation. 10X + 2x + -2x = 20 + 8x + -2x Combine like terms: 2x + -2x = 0 10X + 0 = 20 + 8x + -2x 10X = 20 + 8x + -2x Combine like terms: 8x + -2x = 6x 10X = 20 + 6x Divide each side by '10'. X = 2 + 0.6x Simplifying X = 2 + 0.6x
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