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Simplifying 4(x + 8) = -7(x + 3) Reorder the terms: 4(8 + x) = -7(x + 3) (8 * 4 + x * 4) = -7(x + 3) (32 + 4x) = -7(x + 3) Reorder the terms: 32 + 4x = -7(3 + x) 32 + 4x = (3 * -7 + x * -7) 32 + 4x = (-21 + -7x) Solving 32 + 4x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 32 + 4x + 7x = -21 + -7x + 7x Combine like terms: 4x + 7x = 11x 32 + 11x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 32 + 11x = -21 + 0 32 + 11x = -21 Add '-32' to each side of the equation. 32 + -32 + 11x = -21 + -32 Combine like terms: 32 + -32 = 0 0 + 11x = -21 + -32 11x = -21 + -32 Combine like terms: -21 + -32 = -53 11x = -53 Divide each side by '11'. x = -4.818181818 Simplifying x = -4.818181818
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