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Simplifying 3x + -1(x + 7) = 2(-1x + 5) + 1 Reorder the terms: 3x + -1(7 + x) = 2(-1x + 5) + 1 3x + (7 * -1 + x * -1) = 2(-1x + 5) + 1 3x + (-7 + -1x) = 2(-1x + 5) + 1 Reorder the terms: -7 + 3x + -1x = 2(-1x + 5) + 1 Combine like terms: 3x + -1x = 2x -7 + 2x = 2(-1x + 5) + 1 Reorder the terms: -7 + 2x = 2(5 + -1x) + 1 -7 + 2x = (5 * 2 + -1x * 2) + 1 -7 + 2x = (10 + -2x) + 1 Reorder the terms: -7 + 2x = 10 + 1 + -2x Combine like terms: 10 + 1 = 11 -7 + 2x = 11 + -2x Solving -7 + 2x = 11 + -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. -7 + 2x + 2x = 11 + -2x + 2x Combine like terms: 2x + 2x = 4x -7 + 4x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 4x = 11 + 0 -7 + 4x = 11 Add '7' to each side of the equation. -7 + 7 + 4x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 11 + 7 4x = 11 + 7 Combine like terms: 11 + 7 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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