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Simplifying 6x + -5(1 + 2x) = 3 + 2(1 + -1x) 6x + (1 * -5 + 2x * -5) = 3 + 2(1 + -1x) 6x + (-5 + -10x) = 3 + 2(1 + -1x) Reorder the terms: -5 + 6x + -10x = 3 + 2(1 + -1x) Combine like terms: 6x + -10x = -4x -5 + -4x = 3 + 2(1 + -1x) -5 + -4x = 3 + (1 * 2 + -1x * 2) -5 + -4x = 3 + (2 + -2x) Combine like terms: 3 + 2 = 5 -5 + -4x = 5 + -2x Solving -5 + -4x = 5 + -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. -5 + -4x + 2x = 5 + -2x + 2x Combine like terms: -4x + 2x = -2x -5 + -2x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -2x = 5 + 0 -5 + -2x = 5 Add '5' to each side of the equation. -5 + 5 + -2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 5 + 5 -2x = 5 + 5 Combine like terms: 5 + 5 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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