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Simplifying 5 + -7x = 8(4x + 6) Reorder the terms: 5 + -7x = 8(6 + 4x) 5 + -7x = (6 * 8 + 4x * 8) 5 + -7x = (48 + 32x) Solving 5 + -7x = 48 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 5 + -7x + -32x = 48 + 32x + -32x Combine like terms: -7x + -32x = -39x 5 + -39x = 48 + 32x + -32x Combine like terms: 32x + -32x = 0 5 + -39x = 48 + 0 5 + -39x = 48 Add '-5' to each side of the equation. 5 + -5 + -39x = 48 + -5 Combine like terms: 5 + -5 = 0 0 + -39x = 48 + -5 -39x = 48 + -5 Combine like terms: 48 + -5 = 43 -39x = 43 Divide each side by '-39'. x = -1.102564103 Simplifying x = -1.102564103
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