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Simplifying 0.7(7x + 14) = 1.8 + -1(x + 2) Reorder the terms: 0.7(14 + 7x) = 1.8 + -1(x + 2) (14 * 0.7 + 7x * 0.7) = 1.8 + -1(x + 2) (9.8 + 4.9x) = 1.8 + -1(x + 2) Reorder the terms: 9.8 + 4.9x = 1.8 + -1(2 + x) 9.8 + 4.9x = 1.8 + (2 * -1 + x * -1) 9.8 + 4.9x = 1.8 + (-2 + -1x) Combine like terms: 1.8 + -2 = -0.2 9.8 + 4.9x = -0.2 + -1x Solving 9.8 + 4.9x = -0.2 + -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. 9.8 + 4.9x + x = -0.2 + -1x + x Combine like terms: 4.9x + x = 5.9x 9.8 + 5.9x = -0.2 + -1x + x Combine like terms: -1x + x = 0 9.8 + 5.9x = -0.2 + 0 9.8 + 5.9x = -0.2 Add '-9.8' to each side of the equation. 9.8 + -9.8 + 5.9x = -0.2 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + 5.9x = -0.2 + -9.8 5.9x = -0.2 + -9.8 Combine like terms: -0.2 + -9.8 = -10 5.9x = -10 Divide each side by '5.9'. x = -1.694915254 Simplifying x = -1.694915254
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