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Simplifying 2x + -3 = 9 + -4(x + -3) Reorder the terms: -3 + 2x = 9 + -4(x + -3) Reorder the terms: -3 + 2x = 9 + -4(-3 + x) -3 + 2x = 9 + (-3 * -4 + x * -4) -3 + 2x = 9 + (12 + -4x) Combine like terms: 9 + 12 = 21 -3 + 2x = 21 + -4x Solving -3 + 2x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 2x + 4x = 21 + -4x + 4x Combine like terms: 2x + 4x = 6x -3 + 6x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 6x = 21 + 0 -3 + 6x = 21 Add '3' to each side of the equation. -3 + 3 + 6x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 21 + 3 6x = 21 + 3 Combine like terms: 21 + 3 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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