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Simplifying 3.53(x + -6.8) + -4.2x = 3.9x + -1.154 Reorder the terms: 3.53(-6.8 + x) + -4.2x = 3.9x + -1.154 (-6.8 * 3.53 + x * 3.53) + -4.2x = 3.9x + -1.154 (-24.004 + 3.53x) + -4.2x = 3.9x + -1.154 Combine like terms: 3.53x + -4.2x = -0.67x -24.004 + -0.67x = 3.9x + -1.154 Reorder the terms: -24.004 + -0.67x = -1.154 + 3.9x Solving -24.004 + -0.67x = -1.154 + 3.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.9x' to each side of the equation. -24.004 + -0.67x + -3.9x = -1.154 + 3.9x + -3.9x Combine like terms: -0.67x + -3.9x = -4.57x -24.004 + -4.57x = -1.154 + 3.9x + -3.9x Combine like terms: 3.9x + -3.9x = 0.0 -24.004 + -4.57x = -1.154 + 0.0 -24.004 + -4.57x = -1.154 Add '24.004' to each side of the equation. -24.004 + 24.004 + -4.57x = -1.154 + 24.004 Combine like terms: -24.004 + 24.004 = 0.000 0.000 + -4.57x = -1.154 + 24.004 -4.57x = -1.154 + 24.004 Combine like terms: -1.154 + 24.004 = 22.85 -4.57x = 22.85 Divide each side by '-4.57'. x = -5 Simplifying x = -5
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