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Simplifying 3(x + -1) + -1(4x + -5) = 2(5 + -1) + -7 Reorder the terms: 3(-1 + x) + -1(4x + -5) = 2(5 + -1) + -7 (-1 * 3 + x * 3) + -1(4x + -5) = 2(5 + -1) + -7 (-3 + 3x) + -1(4x + -5) = 2(5 + -1) + -7 Reorder the terms: -3 + 3x + -1(-5 + 4x) = 2(5 + -1) + -7 -3 + 3x + (-5 * -1 + 4x * -1) = 2(5 + -1) + -7 -3 + 3x + (5 + -4x) = 2(5 + -1) + -7 Reorder the terms: -3 + 5 + 3x + -4x = 2(5 + -1) + -7 Combine like terms: -3 + 5 = 2 2 + 3x + -4x = 2(5 + -1) + -7 Combine like terms: 3x + -4x = -1x 2 + -1x = 2(5 + -1) + -7 Combine like terms: 5 + -1 = 4 2 + -1x = 2(4) + -7 Multiply 2 * 4 2 + -1x = 8 + -7 Combine like terms: 8 + -7 = 1 2 + -1x = 1 Solving 2 + -1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 1 + -2 -1x = 1 + -2 Combine like terms: 1 + -2 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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