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Simplifying 10x + 2 = 2(4x + 1) + -1x + 7 Reorder the terms: 2 + 10x = 2(4x + 1) + -1x + 7 Reorder the terms: 2 + 10x = 2(1 + 4x) + -1x + 7 2 + 10x = (1 * 2 + 4x * 2) + -1x + 7 2 + 10x = (2 + 8x) + -1x + 7 Reorder the terms: 2 + 10x = 2 + 7 + 8x + -1x Combine like terms: 2 + 7 = 9 2 + 10x = 9 + 8x + -1x Combine like terms: 8x + -1x = 7x 2 + 10x = 9 + 7x Solving 2 + 10x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 10x + -7x = 9 + 7x + -7x Combine like terms: 10x + -7x = 3x 2 + 3x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 3x = 9 + 0 2 + 3x = 9 Add '-2' to each side of the equation. 2 + -2 + 3x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 9 + -2 3x = 9 + -2 Combine like terms: 9 + -2 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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