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Simplifying 5(-3x + 11) + 2(x + -3) = 2x + 108 Reorder the terms: 5(11 + -3x) + 2(x + -3) = 2x + 108 (11 * 5 + -3x * 5) + 2(x + -3) = 2x + 108 (55 + -15x) + 2(x + -3) = 2x + 108 Reorder the terms: 55 + -15x + 2(-3 + x) = 2x + 108 55 + -15x + (-3 * 2 + x * 2) = 2x + 108 55 + -15x + (-6 + 2x) = 2x + 108 Reorder the terms: 55 + -6 + -15x + 2x = 2x + 108 Combine like terms: 55 + -6 = 49 49 + -15x + 2x = 2x + 108 Combine like terms: -15x + 2x = -13x 49 + -13x = 2x + 108 Reorder the terms: 49 + -13x = 108 + 2x Solving 49 + -13x = 108 + 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. 49 + -13x + -2x = 108 + 2x + -2x Combine like terms: -13x + -2x = -15x 49 + -15x = 108 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + -15x = 108 + 0 49 + -15x = 108 Add '-49' to each side of the equation. 49 + -49 + -15x = 108 + -49 Combine like terms: 49 + -49 = 0 0 + -15x = 108 + -49 -15x = 108 + -49 Combine like terms: 108 + -49 = 59 -15x = 59 Divide each side by '-15'. x = -3.933333333 Simplifying x = -3.933333333
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