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Simplifying 9 + 8(5x + 3) = -3 + -5(8x + 3) Reorder the terms: 9 + 8(3 + 5x) = -3 + -5(8x + 3) 9 + (3 * 8 + 5x * 8) = -3 + -5(8x + 3) 9 + (24 + 40x) = -3 + -5(8x + 3) Combine like terms: 9 + 24 = 33 33 + 40x = -3 + -5(8x + 3) Reorder the terms: 33 + 40x = -3 + -5(3 + 8x) 33 + 40x = -3 + (3 * -5 + 8x * -5) 33 + 40x = -3 + (-15 + -40x) Combine like terms: -3 + -15 = -18 33 + 40x = -18 + -40x Solving 33 + 40x = -18 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 33 + 40x + 40x = -18 + -40x + 40x Combine like terms: 40x + 40x = 80x 33 + 80x = -18 + -40x + 40x Combine like terms: -40x + 40x = 0 33 + 80x = -18 + 0 33 + 80x = -18 Add '-33' to each side of the equation. 33 + -33 + 80x = -18 + -33 Combine like terms: 33 + -33 = 0 0 + 80x = -18 + -33 80x = -18 + -33 Combine like terms: -18 + -33 = -51 80x = -51 Divide each side by '80'. x = -0.6375 Simplifying x = -0.6375
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