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Simplifying 3(2x + 7) = -10 + -2(4 + 9x) Reorder the terms: 3(7 + 2x) = -10 + -2(4 + 9x) (7 * 3 + 2x * 3) = -10 + -2(4 + 9x) (21 + 6x) = -10 + -2(4 + 9x) 21 + 6x = -10 + (4 * -2 + 9x * -2) 21 + 6x = -10 + (-8 + -18x) Combine like terms: -10 + -8 = -18 21 + 6x = -18 + -18x Solving 21 + 6x = -18 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 21 + 6x + 18x = -18 + -18x + 18x Combine like terms: 6x + 18x = 24x 21 + 24x = -18 + -18x + 18x Combine like terms: -18x + 18x = 0 21 + 24x = -18 + 0 21 + 24x = -18 Add '-21' to each side of the equation. 21 + -21 + 24x = -18 + -21 Combine like terms: 21 + -21 = 0 0 + 24x = -18 + -21 24x = -18 + -21 Combine like terms: -18 + -21 = -39 24x = -39 Divide each side by '24'. x = -1.625 Simplifying x = -1.625
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