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Simplifying 6(3x + -8) = 29 + 7x Reorder the terms: 6(-8 + 3x) = 29 + 7x (-8 * 6 + 3x * 6) = 29 + 7x (-48 + 18x) = 29 + 7x Solving -48 + 18x = 29 + 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 + 18x + -7x = 29 + 7x + -7x Combine like terms: 18x + -7x = 11x -48 + 11x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + 11x = 29 + 0 -48 + 11x = 29 Add '48' to each side of the equation. -48 + 48 + 11x = 29 + 48 Combine like terms: -48 + 48 = 0 0 + 11x = 29 + 48 11x = 29 + 48 Combine like terms: 29 + 48 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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