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Simplifying 4(3x + 9) + 7(x + 3) = -2(x + -7) Reorder the terms: 4(9 + 3x) + 7(x + 3) = -2(x + -7) (9 * 4 + 3x * 4) + 7(x + 3) = -2(x + -7) (36 + 12x) + 7(x + 3) = -2(x + -7) Reorder the terms: 36 + 12x + 7(3 + x) = -2(x + -7) 36 + 12x + (3 * 7 + x * 7) = -2(x + -7) 36 + 12x + (21 + 7x) = -2(x + -7) Reorder the terms: 36 + 21 + 12x + 7x = -2(x + -7) Combine like terms: 36 + 21 = 57 57 + 12x + 7x = -2(x + -7) Combine like terms: 12x + 7x = 19x 57 + 19x = -2(x + -7) Reorder the terms: 57 + 19x = -2(-7 + x) 57 + 19x = (-7 * -2 + x * -2) 57 + 19x = (14 + -2x) Solving 57 + 19x = 14 + -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. 57 + 19x + 2x = 14 + -2x + 2x Combine like terms: 19x + 2x = 21x 57 + 21x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 57 + 21x = 14 + 0 57 + 21x = 14 Add '-57' to each side of the equation. 57 + -57 + 21x = 14 + -57 Combine like terms: 57 + -57 = 0 0 + 21x = 14 + -57 21x = 14 + -57 Combine like terms: 14 + -57 = -43 21x = -43 Divide each side by '21'. x = -2.047619048 Simplifying x = -2.047619048
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