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Simplifying 2.9(6 + -1x) = -0.7(2 + -1x) (6 * 2.9 + -1x * 2.9) = -0.7(2 + -1x) (17.4 + -2.9x) = -0.7(2 + -1x) 17.4 + -2.9x = (2 * -0.7 + -1x * -0.7) 17.4 + -2.9x = (-1.4 + 0.7x) Solving 17.4 + -2.9x = -1.4 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 17.4 + -2.9x + -0.7x = -1.4 + 0.7x + -0.7x Combine like terms: -2.9x + -0.7x = -3.6x 17.4 + -3.6x = -1.4 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 17.4 + -3.6x = -1.4 + 0.0 17.4 + -3.6x = -1.4 Add '-17.4' to each side of the equation. 17.4 + -17.4 + -3.6x = -1.4 + -17.4 Combine like terms: 17.4 + -17.4 = 0.0 0.0 + -3.6x = -1.4 + -17.4 -3.6x = -1.4 + -17.4 Combine like terms: -1.4 + -17.4 = -18.8 -3.6x = -18.8 Divide each side by '-3.6'. x = 5.222222222 Simplifying x = 5.222222222
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