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