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Simplifying 0.6x + -1.7(x + -11) = 0.5(x + -1) Reorder the terms: 0.6x + -1.7(-11 + x) = 0.5(x + -1) 0.6x + (-11 * -1.7 + x * -1.7) = 0.5(x + -1) 0.6x + (18.7 + -1.7x) = 0.5(x + -1) Reorder the terms: 18.7 + 0.6x + -1.7x = 0.5(x + -1) Combine like terms: 0.6x + -1.7x = -1.1x 18.7 + -1.1x = 0.5(x + -1) Reorder the terms: 18.7 + -1.1x = 0.5(-1 + x) 18.7 + -1.1x = (-1 * 0.5 + x * 0.5) 18.7 + -1.1x = (-0.5 + 0.5x) Solving 18.7 + -1.1x = -0.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 18.7 + -1.1x + -0.5x = -0.5 + 0.5x + -0.5x Combine like terms: -1.1x + -0.5x = -1.6x 18.7 + -1.6x = -0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 18.7 + -1.6x = -0.5 + 0.0 18.7 + -1.6x = -0.5 Add '-18.7' to each side of the equation. 18.7 + -18.7 + -1.6x = -0.5 + -18.7 Combine like terms: 18.7 + -18.7 = 0.0 0.0 + -1.6x = -0.5 + -18.7 -1.6x = -0.5 + -18.7 Combine like terms: -0.5 + -18.7 = -19.2 -1.6x = -19.2 Divide each side by '-1.6'. x = 12 Simplifying x = 12
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