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Simplifying 4 + 7(3x + -2) = 24 + 6(2x + -1) Reorder the terms: 4 + 7(-2 + 3x) = 24 + 6(2x + -1) 4 + (-2 * 7 + 3x * 7) = 24 + 6(2x + -1) 4 + (-14 + 21x) = 24 + 6(2x + -1) Combine like terms: 4 + -14 = -10 -10 + 21x = 24 + 6(2x + -1) Reorder the terms: -10 + 21x = 24 + 6(-1 + 2x) -10 + 21x = 24 + (-1 * 6 + 2x * 6) -10 + 21x = 24 + (-6 + 12x) Combine like terms: 24 + -6 = 18 -10 + 21x = 18 + 12x Solving -10 + 21x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 21x + -12x = 18 + 12x + -12x Combine like terms: 21x + -12x = 9x -10 + 9x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + 9x = 18 + 0 -10 + 9x = 18 Add '10' to each side of the equation. -10 + 10 + 9x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 18 + 10 9x = 18 + 10 Combine like terms: 18 + 10 = 28 9x = 28 Divide each side by '9'. x = 3.111111111 Simplifying x = 3.111111111
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