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Simplifying 0.3x + -6 = 1.1x + -18 Reorder the terms: -6 + 0.3x = 1.1x + -18 Reorder the terms: -6 + 0.3x = -18 + 1.1x Solving -6 + 0.3x = -18 + 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. -6 + 0.3x + -1.1x = -18 + 1.1x + -1.1x Combine like terms: 0.3x + -1.1x = -0.8x -6 + -0.8x = -18 + 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 -6 + -0.8x = -18 + 0.0 -6 + -0.8x = -18 Add '6' to each side of the equation. -6 + 6 + -0.8x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -0.8x = -18 + 6 -0.8x = -18 + 6 Combine like terms: -18 + 6 = -12 -0.8x = -12 Divide each side by '-0.8'. x = 15 Simplifying x = 15
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