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Simplifying 12 + -10x = 24x + 21 Reorder the terms: 12 + -10x = 21 + 24x Solving 12 + -10x = 21 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12 + -10x + -24x = 21 + 24x + -24x Combine like terms: -10x + -24x = -34x 12 + -34x = 21 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + -34x = 21 + 0 12 + -34x = 21 Add '-12' to each side of the equation. 12 + -12 + -34x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -34x = 21 + -12 -34x = 21 + -12 Combine like terms: 21 + -12 = 9 -34x = 9 Divide each side by '-34'. x = -0.2647058824 Simplifying x = -0.2647058824
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