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Simplifying 5(7x + 14) = 1.4 + -1(x + 2) Reorder the terms: 5(14 + 7x) = 1.4 + -1(x + 2) (14 * 5 + 7x * 5) = 1.4 + -1(x + 2) (70 + 35x) = 1.4 + -1(x + 2) Reorder the terms: 70 + 35x = 1.4 + -1(2 + x) 70 + 35x = 1.4 + (2 * -1 + x * -1) 70 + 35x = 1.4 + (-2 + -1x) Combine like terms: 1.4 + -2 = -0.6 70 + 35x = -0.6 + -1x Solving 70 + 35x = -0.6 + -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. 70 + 35x + x = -0.6 + -1x + x Combine like terms: 35x + x = 36x 70 + 36x = -0.6 + -1x + x Combine like terms: -1x + x = 0 70 + 36x = -0.6 + 0 70 + 36x = -0.6 Add '-70' to each side of the equation. 70 + -70 + 36x = -0.6 + -70 Combine like terms: 70 + -70 = 0 0 + 36x = -0.6 + -70 36x = -0.6 + -70 Combine like terms: -0.6 + -70 = -70.6 36x = -70.6 Divide each side by '36'. x = -1.961111111 Simplifying x = -1.961111111
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