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Simplifying 3x + -2(x + 3) + -5 = 6x + -1(x + -5) Reorder the terms: 3x + -2(3 + x) + -5 = 6x + -1(x + -5) 3x + (3 * -2 + x * -2) + -5 = 6x + -1(x + -5) 3x + (-6 + -2x) + -5 = 6x + -1(x + -5) Reorder the terms: -6 + -5 + 3x + -2x = 6x + -1(x + -5) Combine like terms: -6 + -5 = -11 -11 + 3x + -2x = 6x + -1(x + -5) Combine like terms: 3x + -2x = 1x -11 + 1x = 6x + -1(x + -5) Reorder the terms: -11 + 1x = 6x + -1(-5 + x) -11 + 1x = 6x + (-5 * -1 + x * -1) -11 + 1x = 6x + (5 + -1x) Reorder the terms: -11 + 1x = 5 + 6x + -1x Combine like terms: 6x + -1x = 5x -11 + 1x = 5 + 5x Solving -11 + 1x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 1x + -5x = 5 + 5x + -5x Combine like terms: 1x + -5x = -4x -11 + -4x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + -4x = 5 + 0 -11 + -4x = 5 Add '11' to each side of the equation. -11 + 11 + -4x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 5 + 11 -4x = 5 + 11 Combine like terms: 5 + 11 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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