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Simplifying 3x + -2[4 + -2(x + -5)] = 5x + -19 Reorder the terms: 3x + -2[4 + -2(-5 + x)] = 5x + -19 3x + -2[4 + (-5 * -2 + x * -2)] = 5x + -19 3x + -2[4 + (10 + -2x)] = 5x + -19 Combine like terms: 4 + 10 = 14 3x + -2[14 + -2x] = 5x + -19 3x + [14 * -2 + -2x * -2] = 5x + -19 3x + [-28 + 4x] = 5x + -19 Reorder the terms: -28 + 3x + 4x = 5x + -19 Combine like terms: 3x + 4x = 7x -28 + 7x = 5x + -19 Reorder the terms: -28 + 7x = -19 + 5x Solving -28 + 7x = -19 + 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. -28 + 7x + -5x = -19 + 5x + -5x Combine like terms: 7x + -5x = 2x -28 + 2x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 2x = -19 + 0 -28 + 2x = -19 Add '28' to each side of the equation. -28 + 28 + 2x = -19 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -19 + 28 2x = -19 + 28 Combine like terms: -19 + 28 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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