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Simplifying 3x + -2[2(x + -5)] = 5x + -19 Reorder the terms: 3x + -2[2(-5 + x)] = 5x + -19 3x + -2[(-5 * 2 + x * 2)] = 5x + -19 3x + -2[(-10 + 2x)] = 5x + -19 3x + [-10 * -2 + 2x * -2] = 5x + -19 3x + [20 + -4x] = 5x + -19 Reorder the terms: 20 + 3x + -4x = 5x + -19 Combine like terms: 3x + -4x = -1x 20 + -1x = 5x + -19 Reorder the terms: 20 + -1x = -19 + 5x Solving 20 + -1x = -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. 20 + -1x + -5x = -19 + 5x + -5x Combine like terms: -1x + -5x = -6x 20 + -6x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -6x = -19 + 0 20 + -6x = -19 Add '-20' to each side of the equation. 20 + -20 + -6x = -19 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -19 + -20 -6x = -19 + -20 Combine like terms: -19 + -20 = -39 -6x = -39 Divide each side by '-6'. x = 6.5 Simplifying x = 6.5
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