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Simplifying -5(3x + -1) = 2(x + -49) + -101 Reorder the terms: -5(-1 + 3x) = 2(x + -49) + -101 (-1 * -5 + 3x * -5) = 2(x + -49) + -101 (5 + -15x) = 2(x + -49) + -101 Reorder the terms: 5 + -15x = 2(-49 + x) + -101 5 + -15x = (-49 * 2 + x * 2) + -101 5 + -15x = (-98 + 2x) + -101 Reorder the terms: 5 + -15x = -98 + -101 + 2x Combine like terms: -98 + -101 = -199 5 + -15x = -199 + 2x Solving 5 + -15x = -199 + 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. 5 + -15x + -2x = -199 + 2x + -2x Combine like terms: -15x + -2x = -17x 5 + -17x = -199 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -17x = -199 + 0 5 + -17x = -199 Add '-5' to each side of the equation. 5 + -5 + -17x = -199 + -5 Combine like terms: 5 + -5 = 0 0 + -17x = -199 + -5 -17x = -199 + -5 Combine like terms: -199 + -5 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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