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Simplifying 6(8 + x) + -6x = 8(x + 5) (8 * 6 + x * 6) + -6x = 8(x + 5) (48 + 6x) + -6x = 8(x + 5) Combine like terms: 6x + -6x = 0 48 + 0 = 8(x + 5) 48 = 8(x + 5) Reorder the terms: 48 = 8(5 + x) 48 = (5 * 8 + x * 8) 48 = (40 + 8x) Solving 48 = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 48 + -8x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 48 + -8x = 40 + 0 48 + -8x = 40 Add '-48' to each side of the equation. 48 + -48 + -8x = 40 + -48 Combine like terms: 48 + -48 = 0 0 + -8x = 40 + -48 -8x = 40 + -48 Combine like terms: 40 + -48 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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