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Simplifying 0.03(6x + 12) = 1.8(x + 2) Reorder the terms: 0.03(12 + 6x) = 1.8(x + 2) (12 * 0.03 + 6x * 0.03) = 1.8(x + 2) (0.36 + 0.18x) = 1.8(x + 2) Reorder the terms: 0.36 + 0.18x = 1.8(2 + x) 0.36 + 0.18x = (2 * 1.8 + x * 1.8) 0.36 + 0.18x = (3.6 + 1.8x) Solving 0.36 + 0.18x = 3.6 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 0.36 + 0.18x + -1.8x = 3.6 + 1.8x + -1.8x Combine like terms: 0.18x + -1.8x = -1.62x 0.36 + -1.62x = 3.6 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 0.36 + -1.62x = 3.6 + 0.0 0.36 + -1.62x = 3.6 Add '-0.36' to each side of the equation. 0.36 + -0.36 + -1.62x = 3.6 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -1.62x = 3.6 + -0.36 -1.62x = 3.6 + -0.36 Combine like terms: 3.6 + -0.36 = 3.24 -1.62x = 3.24 Divide each side by '-1.62'. x = -2 Simplifying x = -2
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