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Simplifying 10x + -21 = 3(9 + 6x) Reorder the terms: -21 + 10x = 3(9 + 6x) -21 + 10x = (9 * 3 + 6x * 3) -21 + 10x = (27 + 18x) Solving -21 + 10x = 27 + 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 + 10x + -18x = 27 + 18x + -18x Combine like terms: 10x + -18x = -8x -21 + -8x = 27 + 18x + -18x Combine like terms: 18x + -18x = 0 -21 + -8x = 27 + 0 -21 + -8x = 27 Add '21' to each side of the equation. -21 + 21 + -8x = 27 + 21 Combine like terms: -21 + 21 = 0 0 + -8x = 27 + 21 -8x = 27 + 21 Combine like terms: 27 + 21 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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