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Simplifying 3x + 8 = 10x + -21 Reorder the terms: 8 + 3x = 10x + -21 Reorder the terms: 8 + 3x = -21 + 10x Solving 8 + 3x = -21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 3x + -10x = -21 + 10x + -10x Combine like terms: 3x + -10x = -7x 8 + -7x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -7x = -21 + 0 8 + -7x = -21 Add '-8' to each side of the equation. 8 + -8 + -7x = -21 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = -21 + -8 -7x = -21 + -8 Combine like terms: -21 + -8 = -29 -7x = -29 Divide each side by '-7'. x = 4.142857143 Simplifying x = 4.142857143
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