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Simplifying 17x + -9(5x + -3) = 1.14(x + 3) + -6 Reorder the terms: 17x + -9(-3 + 5x) = 1.14(x + 3) + -6 17x + (-3 * -9 + 5x * -9) = 1.14(x + 3) + -6 17x + (27 + -45x) = 1.14(x + 3) + -6 Reorder the terms: 27 + 17x + -45x = 1.14(x + 3) + -6 Combine like terms: 17x + -45x = -28x 27 + -28x = 1.14(x + 3) + -6 Reorder the terms: 27 + -28x = 1.14(3 + x) + -6 27 + -28x = (3 * 1.14 + x * 1.14) + -6 27 + -28x = (3.42 + 1.14x) + -6 Reorder the terms: 27 + -28x = 3.42 + -6 + 1.14x Combine like terms: 3.42 + -6 = -2.58 27 + -28x = -2.58 + 1.14x Solving 27 + -28x = -2.58 + 1.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.14x' to each side of the equation. 27 + -28x + -1.14x = -2.58 + 1.14x + -1.14x Combine like terms: -28x + -1.14x = -29.14x 27 + -29.14x = -2.58 + 1.14x + -1.14x Combine like terms: 1.14x + -1.14x = 0.00 27 + -29.14x = -2.58 + 0.00 27 + -29.14x = -2.58 Add '-27' to each side of the equation. 27 + -27 + -29.14x = -2.58 + -27 Combine like terms: 27 + -27 = 0 0 + -29.14x = -2.58 + -27 -29.14x = -2.58 + -27 Combine like terms: -2.58 + -27 = -29.58 -29.14x = -29.58 Divide each side by '-29.14'. x = 1.01509952 Simplifying x = 1.01509952
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