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Simplifying 8(x + 2) = 5(3x + -6) Reorder the terms: 8(2 + x) = 5(3x + -6) (2 * 8 + x * 8) = 5(3x + -6) (16 + 8x) = 5(3x + -6) Reorder the terms: 16 + 8x = 5(-6 + 3x) 16 + 8x = (-6 * 5 + 3x * 5) 16 + 8x = (-30 + 15x) Solving 16 + 8x = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 8x + -15x = -30 + 15x + -15x Combine like terms: 8x + -15x = -7x 16 + -7x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + -7x = -30 + 0 16 + -7x = -30 Add '-16' to each side of the equation. 16 + -16 + -7x = -30 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = -30 + -16 -7x = -30 + -16 Combine like terms: -30 + -16 = -46 -7x = -46 Divide each side by '-7'. x = 6.571428571 Simplifying x = 6.571428571
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