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Simplifying 21(x + 8) + -12(9 + 2x) = 10(2x + 4) Reorder the terms: 21(8 + x) + -12(9 + 2x) = 10(2x + 4) (8 * 21 + x * 21) + -12(9 + 2x) = 10(2x + 4) (168 + 21x) + -12(9 + 2x) = 10(2x + 4) 168 + 21x + (9 * -12 + 2x * -12) = 10(2x + 4) 168 + 21x + (-108 + -24x) = 10(2x + 4) Reorder the terms: 168 + -108 + 21x + -24x = 10(2x + 4) Combine like terms: 168 + -108 = 60 60 + 21x + -24x = 10(2x + 4) Combine like terms: 21x + -24x = -3x 60 + -3x = 10(2x + 4) Reorder the terms: 60 + -3x = 10(4 + 2x) 60 + -3x = (4 * 10 + 2x * 10) 60 + -3x = (40 + 20x) Solving 60 + -3x = 40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 60 + -3x + -20x = 40 + 20x + -20x Combine like terms: -3x + -20x = -23x 60 + -23x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 60 + -23x = 40 + 0 60 + -23x = 40 Add '-60' to each side of the equation. 60 + -60 + -23x = 40 + -60 Combine like terms: 60 + -60 = 0 0 + -23x = 40 + -60 -23x = 40 + -60 Combine like terms: 40 + -60 = -20 -23x = -20 Divide each side by '-23'. x = 0.8695652174 Simplifying x = 0.8695652174
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