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Simplifying 8(x + 4) = 3(7x + 11) Reorder the terms: 8(4 + x) = 3(7x + 11) (4 * 8 + x * 8) = 3(7x + 11) (32 + 8x) = 3(7x + 11) Reorder the terms: 32 + 8x = 3(11 + 7x) 32 + 8x = (11 * 3 + 7x * 3) 32 + 8x = (33 + 21x) Solving 32 + 8x = 33 + 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. 32 + 8x + -21x = 33 + 21x + -21x Combine like terms: 8x + -21x = -13x 32 + -13x = 33 + 21x + -21x Combine like terms: 21x + -21x = 0 32 + -13x = 33 + 0 32 + -13x = 33 Add '-32' to each side of the equation. 32 + -32 + -13x = 33 + -32 Combine like terms: 32 + -32 = 0 0 + -13x = 33 + -32 -13x = 33 + -32 Combine like terms: 33 + -32 = 1 -13x = 1 Divide each side by '-13'. x = -0.07692307692 Simplifying x = -0.07692307692
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