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Simplifying 3 + -1(4x + -19) = 5(x + -3) Reorder the terms: 3 + -1(-19 + 4x) = 5(x + -3) 3 + (-19 * -1 + 4x * -1) = 5(x + -3) 3 + (19 + -4x) = 5(x + -3) Combine like terms: 3 + 19 = 22 22 + -4x = 5(x + -3) Reorder the terms: 22 + -4x = 5(-3 + x) 22 + -4x = (-3 * 5 + x * 5) 22 + -4x = (-15 + 5x) Solving 22 + -4x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + -4x + -5x = -15 + 5x + -5x Combine like terms: -4x + -5x = -9x 22 + -9x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -9x = -15 + 0 22 + -9x = -15 Add '-22' to each side of the equation. 22 + -22 + -9x = -15 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = -15 + -22 -9x = -15 + -22 Combine like terms: -15 + -22 = -37 -9x = -37 Divide each side by '-9'. x = 4.111111111 Simplifying x = 4.111111111
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