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Simplifying 45 = 3(-6x + -1) + 4(x + 5) Reorder the terms: 45 = 3(-1 + -6x) + 4(x + 5) 45 = (-1 * 3 + -6x * 3) + 4(x + 5) 45 = (-3 + -18x) + 4(x + 5) Reorder the terms: 45 = -3 + -18x + 4(5 + x) 45 = -3 + -18x + (5 * 4 + x * 4) 45 = -3 + -18x + (20 + 4x) Reorder the terms: 45 = -3 + 20 + -18x + 4x Combine like terms: -3 + 20 = 17 45 = 17 + -18x + 4x Combine like terms: -18x + 4x = -14x 45 = 17 + -14x Solving 45 = 17 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 45 + 14x = 17 + -14x + 14x Combine like terms: -14x + 14x = 0 45 + 14x = 17 + 0 45 + 14x = 17 Add '-45' to each side of the equation. 45 + -45 + 14x = 17 + -45 Combine like terms: 45 + -45 = 0 0 + 14x = 17 + -45 14x = 17 + -45 Combine like terms: 17 + -45 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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