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Simplifying -5(3x + -11) = 2(x + -5) + -37 Reorder the terms: -5(-11 + 3x) = 2(x + -5) + -37 (-11 * -5 + 3x * -5) = 2(x + -5) + -37 (55 + -15x) = 2(x + -5) + -37 Reorder the terms: 55 + -15x = 2(-5 + x) + -37 55 + -15x = (-5 * 2 + x * 2) + -37 55 + -15x = (-10 + 2x) + -37 Reorder the terms: 55 + -15x = -10 + -37 + 2x Combine like terms: -10 + -37 = -47 55 + -15x = -47 + 2x Solving 55 + -15x = -47 + 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. 55 + -15x + -2x = -47 + 2x + -2x Combine like terms: -15x + -2x = -17x 55 + -17x = -47 + 2x + -2x Combine like terms: 2x + -2x = 0 55 + -17x = -47 + 0 55 + -17x = -47 Add '-55' to each side of the equation. 55 + -55 + -17x = -47 + -55 Combine like terms: 55 + -55 = 0 0 + -17x = -47 + -55 -17x = -47 + -55 Combine like terms: -47 + -55 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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