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Simplifying 19 + -1(3x + -2) = 3(x + -2) + 3 Reorder the terms: 19 + -1(-2 + 3x) = 3(x + -2) + 3 19 + (-2 * -1 + 3x * -1) = 3(x + -2) + 3 19 + (2 + -3x) = 3(x + -2) + 3 Combine like terms: 19 + 2 = 21 21 + -3x = 3(x + -2) + 3 Reorder the terms: 21 + -3x = 3(-2 + x) + 3 21 + -3x = (-2 * 3 + x * 3) + 3 21 + -3x = (-6 + 3x) + 3 Reorder the terms: 21 + -3x = -6 + 3 + 3x Combine like terms: -6 + 3 = -3 21 + -3x = -3 + 3x Solving 21 + -3x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + -3x + -3x = -3 + 3x + -3x Combine like terms: -3x + -3x = -6x 21 + -6x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -6x = -3 + 0 21 + -6x = -3 Add '-21' to each side of the equation. 21 + -21 + -6x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = -3 + -21 -6x = -3 + -21 Combine like terms: -3 + -21 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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