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Simplifying 0.7(7x + 3) = 1.8 + -1(x + 9) Reorder the terms: 0.7(3 + 7x) = 1.8 + -1(x + 9) (3 * 0.7 + 7x * 0.7) = 1.8 + -1(x + 9) (2.1 + 4.9x) = 1.8 + -1(x + 9) Reorder the terms: 2.1 + 4.9x = 1.8 + -1(9 + x) 2.1 + 4.9x = 1.8 + (9 * -1 + x * -1) 2.1 + 4.9x = 1.8 + (-9 + -1x) Combine like terms: 1.8 + -9 = -7.2 2.1 + 4.9x = -7.2 + -1x Solving 2.1 + 4.9x = -7.2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2.1 + 4.9x + x = -7.2 + -1x + x Combine like terms: 4.9x + x = 5.9x 2.1 + 5.9x = -7.2 + -1x + x Combine like terms: -1x + x = 0 2.1 + 5.9x = -7.2 + 0 2.1 + 5.9x = -7.2 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 5.9x = -7.2 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 5.9x = -7.2 + -2.1 5.9x = -7.2 + -2.1 Combine like terms: -7.2 + -2.1 = -9.3 5.9x = -9.3 Divide each side by '5.9'. x = -1.576271186 Simplifying x = -1.576271186
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