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Simplifying 45 = (5x + 55) + -1(3x + -11) Reorder the terms: 45 = (55 + 5x) + -1(3x + -11) Remove parenthesis around (55 + 5x) 45 = 55 + 5x + -1(3x + -11) Reorder the terms: 45 = 55 + 5x + -1(-11 + 3x) 45 = 55 + 5x + (-11 * -1 + 3x * -1) 45 = 55 + 5x + (11 + -3x) Reorder the terms: 45 = 55 + 11 + 5x + -3x Combine like terms: 55 + 11 = 66 45 = 66 + 5x + -3x Combine like terms: 5x + -3x = 2x 45 = 66 + 2x Solving 45 = 66 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + -2x = 66 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -2x = 66 + 0 45 + -2x = 66 Add '-45' to each side of the equation. 45 + -45 + -2x = 66 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 66 + -45 -2x = 66 + -45 Combine like terms: 66 + -45 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5
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