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Simplifying 4(x + 2) = 21(x + -3) Reorder the terms: 4(2 + x) = 21(x + -3) (2 * 4 + x * 4) = 21(x + -3) (8 + 4x) = 21(x + -3) Reorder the terms: 8 + 4x = 21(-3 + x) 8 + 4x = (-3 * 21 + x * 21) 8 + 4x = (-63 + 21x) Solving 8 + 4x = -63 + 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. 8 + 4x + -21x = -63 + 21x + -21x Combine like terms: 4x + -21x = -17x 8 + -17x = -63 + 21x + -21x Combine like terms: 21x + -21x = 0 8 + -17x = -63 + 0 8 + -17x = -63 Add '-8' to each side of the equation. 8 + -8 + -17x = -63 + -8 Combine like terms: 8 + -8 = 0 0 + -17x = -63 + -8 -17x = -63 + -8 Combine like terms: -63 + -8 = -71 -17x = -71 Divide each side by '-17'. x = 4.176470588 Simplifying x = 4.176470588
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