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Simplifying 7(x + -3) + -1(x + -1) = 2x + 1 Reorder the terms: 7(-3 + x) + -1(x + -1) = 2x + 1 (-3 * 7 + x * 7) + -1(x + -1) = 2x + 1 (-21 + 7x) + -1(x + -1) = 2x + 1 Reorder the terms: -21 + 7x + -1(-1 + x) = 2x + 1 -21 + 7x + (-1 * -1 + x * -1) = 2x + 1 -21 + 7x + (1 + -1x) = 2x + 1 Reorder the terms: -21 + 1 + 7x + -1x = 2x + 1 Combine like terms: -21 + 1 = -20 -20 + 7x + -1x = 2x + 1 Combine like terms: 7x + -1x = 6x -20 + 6x = 2x + 1 Reorder the terms: -20 + 6x = 1 + 2x Solving -20 + 6x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -20 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 4x = 1 + 0 -20 + 4x = 1 Add '20' to each side of the equation. -20 + 20 + 4x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 1 + 20 4x = 1 + 20 Combine like terms: 1 + 20 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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