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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 = 11 11 + 10x = (3x + 1) * 2 Reorder the terms: 11 + 10x = (1 + 3x) * 2 Reorder the terms for easier multiplication: 11 + 10x = 2(1 + 3x) 11 + 10x = (1 * 2 + 3x * 2) 11 + 10x = (2 + 6x) Solving 11 + 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. 11 + 10x + -6x = 2 + 6x + -6x Combine like terms: 10x + -6x = 4x 11 + 4x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 4x = 2 + 0 11 + 4x = 2 Add '-11' to each side of the equation. 11 + -11 + 4x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 2 + -11 4x = 2 + -11 Combine like terms: 2 + -11 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25
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