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Simplifying 10x + 3 = 2(4x + 1) + -1x + 8 Reorder the terms: 3 + 10x = 2(4x + 1) + -1x + 8 Reorder the terms: 3 + 10x = 2(1 + 4x) + -1x + 8 3 + 10x = (1 * 2 + 4x * 2) + -1x + 8 3 + 10x = (2 + 8x) + -1x + 8 Reorder the terms: 3 + 10x = 2 + 8 + 8x + -1x Combine like terms: 2 + 8 = 10 3 + 10x = 10 + 8x + -1x Combine like terms: 8x + -1x = 7x 3 + 10x = 10 + 7x Solving 3 + 10x = 10 + 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. 3 + 10x + -7x = 10 + 7x + -7x Combine like terms: 10x + -7x = 3x 3 + 3x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 3x = 10 + 0 3 + 3x = 10 Add '-3' to each side of the equation. 3 + -3 + 3x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 10 + -3 3x = 10 + -3 Combine like terms: 10 + -3 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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