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Simplifying 10 + -2(3x + 4) = 21 + 6x Reorder the terms: 10 + -2(4 + 3x) = 21 + 6x 10 + (4 * -2 + 3x * -2) = 21 + 6x 10 + (-8 + -6x) = 21 + 6x Combine like terms: 10 + -8 = 2 2 + -6x = 21 + 6x Solving 2 + -6x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -6x + -6x = 21 + 6x + -6x Combine like terms: -6x + -6x = -12x 2 + -12x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -12x = 21 + 0 2 + -12x = 21 Add '-2' to each side of the equation. 2 + -2 + -12x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 21 + -2 -12x = 21 + -2 Combine like terms: 21 + -2 = 19 -12x = 19 Divide each side by '-12'. x = -1.583333333 Simplifying x = -1.583333333
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