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Simplifying 3 + -0.67(6x + 9) = 5 + -2x Reorder the terms: 3 + -0.67(9 + 6x) = 5 + -2x 3 + (9 * -0.67 + 6x * -0.67) = 5 + -2x 3 + (-6.03 + -4.02x) = 5 + -2x Combine like terms: 3 + -6.03 = -3.03 -3.03 + -4.02x = 5 + -2x Solving -3.03 + -4.02x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3.03 + -4.02x + 2x = 5 + -2x + 2x Combine like terms: -4.02x + 2x = -2.02x -3.03 + -2.02x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -3.03 + -2.02x = 5 + 0 -3.03 + -2.02x = 5 Add '3.03' to each side of the equation. -3.03 + 3.03 + -2.02x = 5 + 3.03 Combine like terms: -3.03 + 3.03 = 0.00 0.00 + -2.02x = 5 + 3.03 -2.02x = 5 + 3.03 Combine like terms: 5 + 3.03 = 8.03 -2.02x = 8.03 Divide each side by '-2.02'. x = -3.975247525 Simplifying x = -3.975247525
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