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Simplifying 0.67(6x + 3) = 4x + 2 Reorder the terms: 0.67(3 + 6x) = 4x + 2 (3 * 0.67 + 6x * 0.67) = 4x + 2 (2.01 + 4.02x) = 4x + 2 Reorder the terms: 2.01 + 4.02x = 2 + 4x Solving 2.01 + 4.02x = 2 + 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. 2.01 + 4.02x + -4x = 2 + 4x + -4x Combine like terms: 4.02x + -4x = 0.02x 2.01 + 0.02x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 2.01 + 0.02x = 2 + 0 2.01 + 0.02x = 2 Add '-2.01' to each side of the equation. 2.01 + -2.01 + 0.02x = 2 + -2.01 Combine like terms: 2.01 + -2.01 = 0.00 0.00 + 0.02x = 2 + -2.01 0.02x = 2 + -2.01 Combine like terms: 2 + -2.01 = -0.01 0.02x = -0.01 Divide each side by '0.02'. x = -0.5 Simplifying x = -0.5
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