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Simplifying 2x + -6 = 3 + -2(x + -5) Reorder the terms: -6 + 2x = 3 + -2(x + -5) Reorder the terms: -6 + 2x = 3 + -2(-5 + x) -6 + 2x = 3 + (-5 * -2 + x * -2) -6 + 2x = 3 + (10 + -2x) Combine like terms: 3 + 10 = 13 -6 + 2x = 13 + -2x Solving -6 + 2x = 13 + -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. -6 + 2x + 2x = 13 + -2x + 2x Combine like terms: 2x + 2x = 4x -6 + 4x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 4x = 13 + 0 -6 + 4x = 13 Add '6' to each side of the equation. -6 + 6 + 4x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 13 + 6 4x = 13 + 6 Combine like terms: 13 + 6 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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