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Simplifying 0.3(x + 1.8) = 1.2x + 2.34 Reorder the terms: 0.3(1.8 + x) = 1.2x + 2.34 (1.8 * 0.3 + x * 0.3) = 1.2x + 2.34 (0.54 + 0.3x) = 1.2x + 2.34 Reorder the terms: 0.54 + 0.3x = 2.34 + 1.2x Solving 0.54 + 0.3x = 2.34 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 0.54 + 0.3x + -1.2x = 2.34 + 1.2x + -1.2x Combine like terms: 0.3x + -1.2x = -0.9x 0.54 + -0.9x = 2.34 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 0.54 + -0.9x = 2.34 + 0.0 0.54 + -0.9x = 2.34 Add '-0.54' to each side of the equation. 0.54 + -0.54 + -0.9x = 2.34 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + -0.9x = 2.34 + -0.54 -0.9x = 2.34 + -0.54 Combine like terms: 2.34 + -0.54 = 1.8 -0.9x = 1.8 Divide each side by '-0.9'. x = -2 Simplifying x = -2
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