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Simplifying 1.7(x + -1.4) + 0.6x = 0.6(x + 1.1) + -2.7 Reorder the terms: 1.7(-1.4 + x) + 0.6x = 0.6(x + 1.1) + -2.7 (-1.4 * 1.7 + x * 1.7) + 0.6x = 0.6(x + 1.1) + -2.7 (-2.38 + 1.7x) + 0.6x = 0.6(x + 1.1) + -2.7 Combine like terms: 1.7x + 0.6x = 2.3x -2.38 + 2.3x = 0.6(x + 1.1) + -2.7 Reorder the terms: -2.38 + 2.3x = 0.6(1.1 + x) + -2.7 -2.38 + 2.3x = (1.1 * 0.6 + x * 0.6) + -2.7 -2.38 + 2.3x = (0.66 + 0.6x) + -2.7 Reorder the terms: -2.38 + 2.3x = 0.66 + -2.7 + 0.6x Combine like terms: 0.66 + -2.7 = -2.04 -2.38 + 2.3x = -2.04 + 0.6x Solving -2.38 + 2.3x = -2.04 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -2.38 + 2.3x + -0.6x = -2.04 + 0.6x + -0.6x Combine like terms: 2.3x + -0.6x = 1.7x -2.38 + 1.7x = -2.04 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -2.38 + 1.7x = -2.04 + 0.0 -2.38 + 1.7x = -2.04 Add '2.38' to each side of the equation. -2.38 + 2.38 + 1.7x = -2.04 + 2.38 Combine like terms: -2.38 + 2.38 = 0.00 0.00 + 1.7x = -2.04 + 2.38 1.7x = -2.04 + 2.38 Combine like terms: -2.04 + 2.38 = 0.34 1.7x = 0.34 Divide each side by '1.7'. x = 0.2 Simplifying x = 0.2
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