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Simplifying 1.8 + -0.63x = 0.7(0.3x + 10.9) Reorder the terms: 1.8 + -0.63x = 0.7(10.9 + 0.3x) 1.8 + -0.63x = (10.9 * 0.7 + 0.3x * 0.7) 1.8 + -0.63x = (7.63 + 0.21x) Solving 1.8 + -0.63x = 7.63 + 0.21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.21x' to each side of the equation. 1.8 + -0.63x + -0.21x = 7.63 + 0.21x + -0.21x Combine like terms: -0.63x + -0.21x = -0.84x 1.8 + -0.84x = 7.63 + 0.21x + -0.21x Combine like terms: 0.21x + -0.21x = 0.00 1.8 + -0.84x = 7.63 + 0.00 1.8 + -0.84x = 7.63 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.84x = 7.63 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.84x = 7.63 + -1.8 -0.84x = 7.63 + -1.8 Combine like terms: 7.63 + -1.8 = 5.83 -0.84x = 5.83 Divide each side by '-0.84'. x = -6.94047619 Simplifying x = -6.94047619
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