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Simplifying 7x + -3x + -1(10x + 2) = 5 + x Reorder the terms: 7x + -3x + -1(2 + 10x) = 5 + x 7x + -3x + (2 * -1 + 10x * -1) = 5 + x 7x + -3x + (-2 + -10x) = 5 + x Reorder the terms: -2 + 7x + -3x + -10x = 5 + x Combine like terms: 7x + -3x = 4x -2 + 4x + -10x = 5 + x Combine like terms: 4x + -10x = -6x -2 + -6x = 5 + x Solving -2 + -6x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -6x + -1x = 5 + x + -1x Combine like terms: -6x + -1x = -7x -2 + -7x = 5 + x + -1x Combine like terms: x + -1x = 0 -2 + -7x = 5 + 0 -2 + -7x = 5 Add '2' to each side of the equation. -2 + 2 + -7x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 5 + 2 -7x = 5 + 2 Combine like terms: 5 + 2 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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