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Simplifying -5(3x + -37) = 2(x + -4) + -11 Reorder the terms: -5(-37 + 3x) = 2(x + -4) + -11 (-37 * -5 + 3x * -5) = 2(x + -4) + -11 (185 + -15x) = 2(x + -4) + -11 Reorder the terms: 185 + -15x = 2(-4 + x) + -11 185 + -15x = (-4 * 2 + x * 2) + -11 185 + -15x = (-8 + 2x) + -11 Reorder the terms: 185 + -15x = -8 + -11 + 2x Combine like terms: -8 + -11 = -19 185 + -15x = -19 + 2x Solving 185 + -15x = -19 + 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. 185 + -15x + -2x = -19 + 2x + -2x Combine like terms: -15x + -2x = -17x 185 + -17x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 185 + -17x = -19 + 0 185 + -17x = -19 Add '-185' to each side of the equation. 185 + -185 + -17x = -19 + -185 Combine like terms: 185 + -185 = 0 0 + -17x = -19 + -185 -17x = -19 + -185 Combine like terms: -19 + -185 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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