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Simplifying -7(3x + -4) + 2 = 5x + 6(2x + 3) Reorder the terms: -7(-4 + 3x) + 2 = 5x + 6(2x + 3) (-4 * -7 + 3x * -7) + 2 = 5x + 6(2x + 3) (28 + -21x) + 2 = 5x + 6(2x + 3) Reorder the terms: 28 + 2 + -21x = 5x + 6(2x + 3) Combine like terms: 28 + 2 = 30 30 + -21x = 5x + 6(2x + 3) Reorder the terms: 30 + -21x = 5x + 6(3 + 2x) 30 + -21x = 5x + (3 * 6 + 2x * 6) 30 + -21x = 5x + (18 + 12x) Reorder the terms: 30 + -21x = 18 + 5x + 12x Combine like terms: 5x + 12x = 17x 30 + -21x = 18 + 17x Solving 30 + -21x = 18 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 30 + -21x + -17x = 18 + 17x + -17x Combine like terms: -21x + -17x = -38x 30 + -38x = 18 + 17x + -17x Combine like terms: 17x + -17x = 0 30 + -38x = 18 + 0 30 + -38x = 18 Add '-30' to each side of the equation. 30 + -30 + -38x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -38x = 18 + -30 -38x = 18 + -30 Combine like terms: 18 + -30 = -12 -38x = -12 Divide each side by '-38'. x = 0.3157894737 Simplifying x = 0.3157894737
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