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Simplifying 1.13x + -7(3x + -6) = 1.54(x + 3) + -3 Reorder the terms: 1.13x + -7(-6 + 3x) = 1.54(x + 3) + -3 1.13x + (-6 * -7 + 3x * -7) = 1.54(x + 3) + -3 1.13x + (42 + -21x) = 1.54(x + 3) + -3 Reorder the terms: 42 + 1.13x + -21x = 1.54(x + 3) + -3 Combine like terms: 1.13x + -21x = -19.87x 42 + -19.87x = 1.54(x + 3) + -3 Reorder the terms: 42 + -19.87x = 1.54(3 + x) + -3 42 + -19.87x = (3 * 1.54 + x * 1.54) + -3 42 + -19.87x = (4.62 + 1.54x) + -3 Reorder the terms: 42 + -19.87x = 4.62 + -3 + 1.54x Combine like terms: 4.62 + -3 = 1.62 42 + -19.87x = 1.62 + 1.54x Solving 42 + -19.87x = 1.62 + 1.54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.54x' to each side of the equation. 42 + -19.87x + -1.54x = 1.62 + 1.54x + -1.54x Combine like terms: -19.87x + -1.54x = -21.41x 42 + -21.41x = 1.62 + 1.54x + -1.54x Combine like terms: 1.54x + -1.54x = 0.00 42 + -21.41x = 1.62 + 0.00 42 + -21.41x = 1.62 Add '-42' to each side of the equation. 42 + -42 + -21.41x = 1.62 + -42 Combine like terms: 42 + -42 = 0 0 + -21.41x = 1.62 + -42 -21.41x = 1.62 + -42 Combine like terms: 1.62 + -42 = -40.38 -21.41x = -40.38 Divide each side by '-21.41'. x = 1.886034563 Simplifying x = 1.886034563
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