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Simplifying 18 + 0.3x + -17 = -7.4 + 0.7x Reorder the terms: 18 + -17 + 0.3x = -7.4 + 0.7x Combine like terms: 18 + -17 = 1 1 + 0.3x = -7.4 + 0.7x Solving 1 + 0.3x = -7.4 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 1 + 0.3x + -0.7x = -7.4 + 0.7x + -0.7x Combine like terms: 0.3x + -0.7x = -0.4x 1 + -0.4x = -7.4 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 1 + -0.4x = -7.4 + 0.0 1 + -0.4x = -7.4 Add '-1' to each side of the equation. 1 + -1 + -0.4x = -7.4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4x = -7.4 + -1 -0.4x = -7.4 + -1 Combine like terms: -7.4 + -1 = -8.4 -0.4x = -8.4 Divide each side by '-0.4'. x = 21 Simplifying x = 21
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