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Simplifying 10(3 + -1x) = 2x + 21 (3 * 10 + -1x * 10) = 2x + 21 (30 + -10x) = 2x + 21 Reorder the terms: 30 + -10x = 21 + 2x Solving 30 + -10x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + -10x + -2x = 21 + 2x + -2x Combine like terms: -10x + -2x = -12x 30 + -12x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -12x = 21 + 0 30 + -12x = 21 Add '-30' to each side of the equation. 30 + -30 + -12x = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = 21 + -30 -12x = 21 + -30 Combine like terms: 21 + -30 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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