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Simplifying 6 + -3(2x + -4) = 21(1 + x) Reorder the terms: 6 + -3(-4 + 2x) = 21(1 + x) 6 + (-4 * -3 + 2x * -3) = 21(1 + x) 6 + (12 + -6x) = 21(1 + x) Combine like terms: 6 + 12 = 18 18 + -6x = 21(1 + x) 18 + -6x = (1 * 21 + x * 21) 18 + -6x = (21 + 21x) Solving 18 + -6x = 21 + 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. 18 + -6x + -21x = 21 + 21x + -21x Combine like terms: -6x + -21x = -27x 18 + -27x = 21 + 21x + -21x Combine like terms: 21x + -21x = 0 18 + -27x = 21 + 0 18 + -27x = 21 Add '-18' to each side of the equation. 18 + -18 + -27x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -27x = 21 + -18 -27x = 21 + -18 Combine like terms: 21 + -18 = 3 -27x = 3 Divide each side by '-27'. x = -0.1111111111 Simplifying x = -0.1111111111
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