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Simplifying 19 + -1(3x + -2) = (x + -2) + 3x Reorder the terms: 19 + -1(-2 + 3x) = (x + -2) + 3x 19 + (-2 * -1 + 3x * -1) = (x + -2) + 3x 19 + (2 + -3x) = (x + -2) + 3x Combine like terms: 19 + 2 = 21 21 + -3x = (x + -2) + 3x Reorder the terms: 21 + -3x = (-2 + x) + 3x Remove parenthesis around (-2 + x) 21 + -3x = -2 + x + 3x Combine like terms: x + 3x = 4x 21 + -3x = -2 + 4x Solving 21 + -3x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + -3x + -4x = -2 + 4x + -4x Combine like terms: -3x + -4x = -7x 21 + -7x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + -7x = -2 + 0 21 + -7x = -2 Add '-21' to each side of the equation. 21 + -21 + -7x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = -2 + -21 -7x = -2 + -21 Combine like terms: -2 + -21 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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