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Simplifying -2[3x + 2(x + -2)] + 19 = (3x + 1) * 2 Reorder the terms: -2[3x + 2(-2 + x)] + 19 = (3x + 1) * 2 -2[3x + (-2 * 2 + x * 2)] + 19 = (3x + 1) * 2 -2[3x + (-4 + 2x)] + 19 = (3x + 1) * 2 Reorder the terms: -2[-4 + 3x + 2x] + 19 = (3x + 1) * 2 Combine like terms: 3x + 2x = 5x -2[-4 + 5x] + 19 = (3x + 1) * 2 [-4 * -2 + 5x * -2] + 19 = (3x + 1) * 2 [8 + -10x] + 19 = (3x + 1) * 2 Reorder the terms: 8 + 19 + -10x = (3x + 1) * 2 Combine like terms: 8 + 19 = 27 27 + -10x = (3x + 1) * 2 Reorder the terms: 27 + -10x = (1 + 3x) * 2 Reorder the terms for easier multiplication: 27 + -10x = 2(1 + 3x) 27 + -10x = (1 * 2 + 3x * 2) 27 + -10x = (2 + 6x) Solving 27 + -10x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + -10x + -6x = 2 + 6x + -6x Combine like terms: -10x + -6x = -16x 27 + -16x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -16x = 2 + 0 27 + -16x = 2 Add '-27' to each side of the equation. 27 + -27 + -16x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -16x = 2 + -27 -16x = 2 + -27 Combine like terms: 2 + -27 = -25 -16x = -25 Divide each side by '-16'. x = 1.5625 Simplifying x = 1.5625
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