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Simplifying 0.436x + 3.26 = 4.2(x + -4) + -5.34x Reorder the terms: 3.26 + 0.436x = 4.2(x + -4) + -5.34x Reorder the terms: 3.26 + 0.436x = 4.2(-4 + x) + -5.34x 3.26 + 0.436x = (-4 * 4.2 + x * 4.2) + -5.34x 3.26 + 0.436x = (-16.8 + 4.2x) + -5.34x Combine like terms: 4.2x + -5.34x = -1.14x 3.26 + 0.436x = -16.8 + -1.14x Solving 3.26 + 0.436x = -16.8 + -1.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.14x' to each side of the equation. 3.26 + 0.436x + 1.14x = -16.8 + -1.14x + 1.14x Combine like terms: 0.436x + 1.14x = 1.576x 3.26 + 1.576x = -16.8 + -1.14x + 1.14x Combine like terms: -1.14x + 1.14x = 0.00 3.26 + 1.576x = -16.8 + 0.00 3.26 + 1.576x = -16.8 Add '-3.26' to each side of the equation. 3.26 + -3.26 + 1.576x = -16.8 + -3.26 Combine like terms: 3.26 + -3.26 = 0.00 0.00 + 1.576x = -16.8 + -3.26 1.576x = -16.8 + -3.26 Combine like terms: -16.8 + -3.26 = -20.06 1.576x = -20.06 Divide each side by '1.576'. x = -12.7284264 Simplifying x = -12.7284264
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