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Simplifying 7x + -1(x + 4) + -1(2x + 1) = 10 Reorder the terms: 7x + -1(4 + x) + -1(2x + 1) = 10 7x + (4 * -1 + x * -1) + -1(2x + 1) = 10 7x + (-4 + -1x) + -1(2x + 1) = 10 Reorder the terms: 7x + -4 + -1x + -1(1 + 2x) = 10 7x + -4 + -1x + (1 * -1 + 2x * -1) = 10 7x + -4 + -1x + (-1 + -2x) = 10 Reorder the terms: -4 + -1 + 7x + -1x + -2x = 10 Combine like terms: -4 + -1 = -5 -5 + 7x + -1x + -2x = 10 Combine like terms: 7x + -1x = 6x -5 + 6x + -2x = 10 Combine like terms: 6x + -2x = 4x -5 + 4x = 10 Solving -5 + 4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 10 + 5 4x = 10 + 5 Combine like terms: 10 + 5 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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