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Simplifying (1.2x + 1.8) + -0.6(0.2x + 0.3) = 0 Reorder the terms: (1.8 + 1.2x) + -0.6(0.2x + 0.3) = 0 Remove parenthesis around (1.8 + 1.2x) 1.8 + 1.2x + -0.6(0.2x + 0.3) = 0 Reorder the terms: 1.8 + 1.2x + -0.6(0.3 + 0.2x) = 0 1.8 + 1.2x + (0.3 * -0.6 + 0.2x * -0.6) = 0 1.8 + 1.2x + (-0.18 + -0.12x) = 0 Reorder the terms: 1.8 + -0.18 + 1.2x + -0.12x = 0 Combine like terms: 1.8 + -0.18 = 1.62 1.62 + 1.2x + -0.12x = 0 Combine like terms: 1.2x + -0.12x = 1.08x 1.62 + 1.08x = 0 Solving 1.62 + 1.08x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.62' to each side of the equation. 1.62 + -1.62 + 1.08x = 0 + -1.62 Combine like terms: 1.62 + -1.62 = 0.00 0.00 + 1.08x = 0 + -1.62 1.08x = 0 + -1.62 Combine like terms: 0 + -1.62 = -1.62 1.08x = -1.62 Divide each side by '1.08'. x = -1.5 Simplifying x = -1.5
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