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Simplifying 0.07(7x + 14) = 1.2 + -1(x + 2) Reorder the terms: 0.07(14 + 7x) = 1.2 + -1(x + 2) (14 * 0.07 + 7x * 0.07) = 1.2 + -1(x + 2) (0.98 + 0.49x) = 1.2 + -1(x + 2) Reorder the terms: 0.98 + 0.49x = 1.2 + -1(2 + x) 0.98 + 0.49x = 1.2 + (2 * -1 + x * -1) 0.98 + 0.49x = 1.2 + (-2 + -1x) Combine like terms: 1.2 + -2 = -0.8 0.98 + 0.49x = -0.8 + -1x Solving 0.98 + 0.49x = -0.8 + -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. 0.98 + 0.49x + x = -0.8 + -1x + x Combine like terms: 0.49x + x = 1.49x 0.98 + 1.49x = -0.8 + -1x + x Combine like terms: -1x + x = 0 0.98 + 1.49x = -0.8 + 0 0.98 + 1.49x = -0.8 Add '-0.98' to each side of the equation. 0.98 + -0.98 + 1.49x = -0.8 + -0.98 Combine like terms: 0.98 + -0.98 = 0.00 0.00 + 1.49x = -0.8 + -0.98 1.49x = -0.8 + -0.98 Combine like terms: -0.8 + -0.98 = -1.78 1.49x = -1.78 Divide each side by '1.49'. x = -1.194630872 Simplifying x = -1.194630872
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