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Simplifying 6(2 + -4x) + 10 = -8 + 21 + -6x (2 * 6 + -4x * 6) + 10 = -8 + 21 + -6x (12 + -24x) + 10 = -8 + 21 + -6x Reorder the terms: 12 + 10 + -24x = -8 + 21 + -6x Combine like terms: 12 + 10 = 22 22 + -24x = -8 + 21 + -6x Combine like terms: -8 + 21 = 13 22 + -24x = 13 + -6x Solving 22 + -24x = 13 + -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. 22 + -24x + 6x = 13 + -6x + 6x Combine like terms: -24x + 6x = -18x 22 + -18x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 22 + -18x = 13 + 0 22 + -18x = 13 Add '-22' to each side of the equation. 22 + -22 + -18x = 13 + -22 Combine like terms: 22 + -22 = 0 0 + -18x = 13 + -22 -18x = 13 + -22 Combine like terms: 13 + -22 = -9 -18x = -9 Divide each side by '-18'. x = 0.5 Simplifying x = 0.5
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