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Simplifying 0.6(x + 2) = 0.55(2x + 3) Reorder the terms: 0.6(2 + x) = 0.55(2x + 3) (2 * 0.6 + x * 0.6) = 0.55(2x + 3) (1.2 + 0.6x) = 0.55(2x + 3) Reorder the terms: 1.2 + 0.6x = 0.55(3 + 2x) 1.2 + 0.6x = (3 * 0.55 + 2x * 0.55) 1.2 + 0.6x = (1.65 + 1.1x) Solving 1.2 + 0.6x = 1.65 + 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. 1.2 + 0.6x + -1.1x = 1.65 + 1.1x + -1.1x Combine like terms: 0.6x + -1.1x = -0.5x 1.2 + -0.5x = 1.65 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 1.2 + -0.5x = 1.65 + 0.0 1.2 + -0.5x = 1.65 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.5x = 1.65 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.5x = 1.65 + -1.2 -0.5x = 1.65 + -1.2 Combine like terms: 1.65 + -1.2 = 0.45 -0.5x = 0.45 Divide each side by '-0.5'. x = -0.9 Simplifying x = -0.9
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