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Simplifying 0.10x + -54 = 0.2(x + 0.3) Reorder the terms: -54 + 0.10x = 0.2(x + 0.3) Reorder the terms: -54 + 0.10x = 0.2(0.3 + x) -54 + 0.10x = (0.3 * 0.2 + x * 0.2) -54 + 0.10x = (0.06 + 0.2x) Solving -54 + 0.10x = 0.06 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -54 + 0.10x + -0.2x = 0.06 + 0.2x + -0.2x Combine like terms: 0.10x + -0.2x = -0.1x -54 + -0.1x = 0.06 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -54 + -0.1x = 0.06 + 0.0 -54 + -0.1x = 0.06 Add '54' to each side of the equation. -54 + 54 + -0.1x = 0.06 + 54 Combine like terms: -54 + 54 = 0 0 + -0.1x = 0.06 + 54 -0.1x = 0.06 + 54 Combine like terms: 0.06 + 54 = 54.06 -0.1x = 54.06 Divide each side by '-0.1'. x = -540.6 Simplifying x = -540.6
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