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Simplifying 8 + -6.67(6x + 2) = 3(2x + 8) + -4 Reorder the terms: 8 + -6.67(2 + 6x) = 3(2x + 8) + -4 8 + (2 * -6.67 + 6x * -6.67) = 3(2x + 8) + -4 8 + (-13.34 + -40.02x) = 3(2x + 8) + -4 Combine like terms: 8 + -13.34 = -5.34 -5.34 + -40.02x = 3(2x + 8) + -4 Reorder the terms: -5.34 + -40.02x = 3(8 + 2x) + -4 -5.34 + -40.02x = (8 * 3 + 2x * 3) + -4 -5.34 + -40.02x = (24 + 6x) + -4 Reorder the terms: -5.34 + -40.02x = 24 + -4 + 6x Combine like terms: 24 + -4 = 20 -5.34 + -40.02x = 20 + 6x Solving -5.34 + -40.02x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5.34 + -40.02x + -6x = 20 + 6x + -6x Combine like terms: -40.02x + -6x = -46.02x -5.34 + -46.02x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -5.34 + -46.02x = 20 + 0 -5.34 + -46.02x = 20 Add '5.34' to each side of the equation. -5.34 + 5.34 + -46.02x = 20 + 5.34 Combine like terms: -5.34 + 5.34 = 0.00 0.00 + -46.02x = 20 + 5.34 -46.02x = 20 + 5.34 Combine like terms: 20 + 5.34 = 25.34 -46.02x = 25.34 Divide each side by '-46.02'. x = -0.5506301608 Simplifying x = -0.5506301608
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