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Simplifying 7(3x + 5) = 3(3 + -2x) + 2(5x + -21) Reorder the terms: 7(5 + 3x) = 3(3 + -2x) + 2(5x + -21) (5 * 7 + 3x * 7) = 3(3 + -2x) + 2(5x + -21) (35 + 21x) = 3(3 + -2x) + 2(5x + -21) 35 + 21x = (3 * 3 + -2x * 3) + 2(5x + -21) 35 + 21x = (9 + -6x) + 2(5x + -21) Reorder the terms: 35 + 21x = 9 + -6x + 2(-21 + 5x) 35 + 21x = 9 + -6x + (-21 * 2 + 5x * 2) 35 + 21x = 9 + -6x + (-42 + 10x) Reorder the terms: 35 + 21x = 9 + -42 + -6x + 10x Combine like terms: 9 + -42 = -33 35 + 21x = -33 + -6x + 10x Combine like terms: -6x + 10x = 4x 35 + 21x = -33 + 4x Solving 35 + 21x = -33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 35 + 21x + -4x = -33 + 4x + -4x Combine like terms: 21x + -4x = 17x 35 + 17x = -33 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 17x = -33 + 0 35 + 17x = -33 Add '-35' to each side of the equation. 35 + -35 + 17x = -33 + -35 Combine like terms: 35 + -35 = 0 0 + 17x = -33 + -35 17x = -33 + -35 Combine like terms: -33 + -35 = -68 17x = -68 Divide each side by '17'. x = -4 Simplifying x = -4
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