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Simplifying 2.8(7 + -1x) = -0.7(5 + -1x) (7 * 2.8 + -1x * 2.8) = -0.7(5 + -1x) (19.6 + -2.8x) = -0.7(5 + -1x) 19.6 + -2.8x = (5 * -0.7 + -1x * -0.7) 19.6 + -2.8x = (-3.5 + 0.7x) Solving 19.6 + -2.8x = -3.5 + 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. 19.6 + -2.8x + -0.7x = -3.5 + 0.7x + -0.7x Combine like terms: -2.8x + -0.7x = -3.5x 19.6 + -3.5x = -3.5 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 19.6 + -3.5x = -3.5 + 0.0 19.6 + -3.5x = -3.5 Add '-19.6' to each side of the equation. 19.6 + -19.6 + -3.5x = -3.5 + -19.6 Combine like terms: 19.6 + -19.6 = 0.0 0.0 + -3.5x = -3.5 + -19.6 -3.5x = -3.5 + -19.6 Combine like terms: -3.5 + -19.6 = -23.1 -3.5x = -23.1 Divide each side by '-3.5'. x = 6.6 Simplifying x = 6.6
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