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Simplifying 7x(3 + 8) + -8(3x + -4) = 6 + 7(9 + 2x) Combine like terms: 3 + 8 = 11 7x(11) + -8(3x + -4) = 6 + 7(9 + 2x) Reorder the terms for easier multiplication: 7 * 11x + -8(3x + -4) = 6 + 7(9 + 2x) Multiply 7 * 11 77x + -8(3x + -4) = 6 + 7(9 + 2x) Reorder the terms: 77x + -8(-4 + 3x) = 6 + 7(9 + 2x) 77x + (-4 * -8 + 3x * -8) = 6 + 7(9 + 2x) 77x + (32 + -24x) = 6 + 7(9 + 2x) Reorder the terms: 32 + 77x + -24x = 6 + 7(9 + 2x) Combine like terms: 77x + -24x = 53x 32 + 53x = 6 + 7(9 + 2x) 32 + 53x = 6 + (9 * 7 + 2x * 7) 32 + 53x = 6 + (63 + 14x) Combine like terms: 6 + 63 = 69 32 + 53x = 69 + 14x Solving 32 + 53x = 69 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 32 + 53x + -14x = 69 + 14x + -14x Combine like terms: 53x + -14x = 39x 32 + 39x = 69 + 14x + -14x Combine like terms: 14x + -14x = 0 32 + 39x = 69 + 0 32 + 39x = 69 Add '-32' to each side of the equation. 32 + -32 + 39x = 69 + -32 Combine like terms: 32 + -32 = 0 0 + 39x = 69 + -32 39x = 69 + -32 Combine like terms: 69 + -32 = 37 39x = 37 Divide each side by '39'. x = 0.9487179487 Simplifying x = 0.9487179487
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