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Simplifying 5(x + -3) + 49 = 16x + 1 Reorder the terms: 5(-3 + x) + 49 = 16x + 1 (-3 * 5 + x * 5) + 49 = 16x + 1 (-15 + 5x) + 49 = 16x + 1 Reorder the terms: -15 + 49 + 5x = 16x + 1 Combine like terms: -15 + 49 = 34 34 + 5x = 16x + 1 Reorder the terms: 34 + 5x = 1 + 16x Solving 34 + 5x = 1 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 34 + 5x + -16x = 1 + 16x + -16x Combine like terms: 5x + -16x = -11x 34 + -11x = 1 + 16x + -16x Combine like terms: 16x + -16x = 0 34 + -11x = 1 + 0 34 + -11x = 1 Add '-34' to each side of the equation. 34 + -34 + -11x = 1 + -34 Combine like terms: 34 + -34 = 0 0 + -11x = 1 + -34 -11x = 1 + -34 Combine like terms: 1 + -34 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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