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Simplifying 2 + 2(x + -4) = 5 + -3(x + -3) Reorder the terms: 2 + 2(-4 + x) = 5 + -3(x + -3) 2 + (-4 * 2 + x * 2) = 5 + -3(x + -3) 2 + (-8 + 2x) = 5 + -3(x + -3) Combine like terms: 2 + -8 = -6 -6 + 2x = 5 + -3(x + -3) Reorder the terms: -6 + 2x = 5 + -3(-3 + x) -6 + 2x = 5 + (-3 * -3 + x * -3) -6 + 2x = 5 + (9 + -3x) Combine like terms: 5 + 9 = 14 -6 + 2x = 14 + -3x Solving -6 + 2x = 14 + -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 = 14 + -3x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5x = 14 + 0 -6 + 5x = 14 Add '6' to each side of the equation. -6 + 6 + 5x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 14 + 6 5x = 14 + 6 Combine like terms: 14 + 6 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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