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Simplifying 0.67(3x + 9) = -2(2x + 6) Reorder the terms: 0.67(9 + 3x) = -2(2x + 6) (9 * 0.67 + 3x * 0.67) = -2(2x + 6) (6.03 + 2.01x) = -2(2x + 6) Reorder the terms: 6.03 + 2.01x = -2(6 + 2x) 6.03 + 2.01x = (6 * -2 + 2x * -2) 6.03 + 2.01x = (-12 + -4x) Solving 6.03 + 2.01x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6.03 + 2.01x + 4x = -12 + -4x + 4x Combine like terms: 2.01x + 4x = 6.01x 6.03 + 6.01x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 6.03 + 6.01x = -12 + 0 6.03 + 6.01x = -12 Add '-6.03' to each side of the equation. 6.03 + -6.03 + 6.01x = -12 + -6.03 Combine like terms: 6.03 + -6.03 = 0.00 0.00 + 6.01x = -12 + -6.03 6.01x = -12 + -6.03 Combine like terms: -12 + -6.03 = -18.03 6.01x = -18.03 Divide each side by '6.01'. x = -3 Simplifying x = -3
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