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Simplifying 7x + -2(4x + -5) = 15 + 21x Reorder the terms: 7x + -2(-5 + 4x) = 15 + 21x 7x + (-5 * -2 + 4x * -2) = 15 + 21x 7x + (10 + -8x) = 15 + 21x Reorder the terms: 10 + 7x + -8x = 15 + 21x Combine like terms: 7x + -8x = -1x 10 + -1x = 15 + 21x Solving 10 + -1x = 15 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 10 + -1x + -21x = 15 + 21x + -21x Combine like terms: -1x + -21x = -22x 10 + -22x = 15 + 21x + -21x Combine like terms: 21x + -21x = 0 10 + -22x = 15 + 0 10 + -22x = 15 Add '-10' to each side of the equation. 10 + -10 + -22x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -22x = 15 + -10 -22x = 15 + -10 Combine like terms: 15 + -10 = 5 -22x = 5 Divide each side by '-22'. x = -0.2272727273 Simplifying x = -0.2272727273
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