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Simplifying 2x + -6 = 4 + -3(x + -5) Reorder the terms: -6 + 2x = 4 + -3(x + -5) Reorder the terms: -6 + 2x = 4 + -3(-5 + x) -6 + 2x = 4 + (-5 * -3 + x * -3) -6 + 2x = 4 + (15 + -3x) Combine like terms: 4 + 15 = 19 -6 + 2x = 19 + -3x Solving -6 + 2x = 19 + -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. -6 + 2x + 3x = 19 + -3x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5x = 19 + 0 -6 + 5x = 19 Add '6' to each side of the equation. -6 + 6 + 5x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 19 + 6 5x = 19 + 6 Combine like terms: 19 + 6 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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