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Simplifying 1.7x + -2.3(x + 5.2) = -1(11.8 + -1x) Reorder the terms: 1.7x + -2.3(5.2 + x) = -1(11.8 + -1x) 1.7x + (5.2 * -2.3 + x * -2.3) = -1(11.8 + -1x) 1.7x + (-11.96 + -2.3x) = -1(11.8 + -1x) Reorder the terms: -11.96 + 1.7x + -2.3x = -1(11.8 + -1x) Combine like terms: 1.7x + -2.3x = -0.6x -11.96 + -0.6x = -1(11.8 + -1x) -11.96 + -0.6x = (11.8 * -1 + -1x * -1) -11.96 + -0.6x = (-11.8 + 1x) Solving -11.96 + -0.6x = -11.8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11.96 + -0.6x + -1x = -11.8 + 1x + -1x Combine like terms: -0.6x + -1x = -1.6x -11.96 + -1.6x = -11.8 + 1x + -1x Combine like terms: 1x + -1x = 0 -11.96 + -1.6x = -11.8 + 0 -11.96 + -1.6x = -11.8 Add '11.96' to each side of the equation. -11.96 + 11.96 + -1.6x = -11.8 + 11.96 Combine like terms: -11.96 + 11.96 = 0.00 0.00 + -1.6x = -11.8 + 11.96 -1.6x = -11.8 + 11.96 Combine like terms: -11.8 + 11.96 = 0.16 -1.6x = 0.16 Divide each side by '-1.6'. x = -0.1 Simplifying x = -0.1
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