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