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Simplifying 8(x + 6) = 78 + -7x Reorder the terms: 8(6 + x) = 78 + -7x (6 * 8 + x * 8) = 78 + -7x (48 + 8x) = 78 + -7x Solving 48 + 8x = 78 + -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. 48 + 8x + 7x = 78 + -7x + 7x Combine like terms: 8x + 7x = 15x 48 + 15x = 78 + -7x + 7x Combine like terms: -7x + 7x = 0 48 + 15x = 78 + 0 48 + 15x = 78 Add '-48' to each side of the equation. 48 + -48 + 15x = 78 + -48 Combine like terms: 48 + -48 = 0 0 + 15x = 78 + -48 15x = 78 + -48 Combine like terms: 78 + -48 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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