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Simplifying 2(3x + -2(3x + -2)) = 4(4x + -1) + 5 Reorder the terms: 2(3x + -2(-2 + 3x)) = 4(4x + -1) + 5 2(3x + (-2 * -2 + 3x * -2)) = 4(4x + -1) + 5 2(3x + (4 + -6x)) = 4(4x + -1) + 5 Reorder the terms: 2(4 + 3x + -6x) = 4(4x + -1) + 5 Combine like terms: 3x + -6x = -3x 2(4 + -3x) = 4(4x + -1) + 5 (4 * 2 + -3x * 2) = 4(4x + -1) + 5 (8 + -6x) = 4(4x + -1) + 5 Reorder the terms: 8 + -6x = 4(-1 + 4x) + 5 8 + -6x = (-1 * 4 + 4x * 4) + 5 8 + -6x = (-4 + 16x) + 5 Reorder the terms: 8 + -6x = -4 + 5 + 16x Combine like terms: -4 + 5 = 1 8 + -6x = 1 + 16x Solving 8 + -6x = 1 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 8 + -6x + -16x = 1 + 16x + -16x Combine like terms: -6x + -16x = -22x 8 + -22x = 1 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -22x = 1 + 0 8 + -22x = 1 Add '-8' to each side of the equation. 8 + -8 + -22x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -22x = 1 + -8 -22x = 1 + -8 Combine like terms: 1 + -8 = -7 -22x = -7 Divide each side by '-22'. x = 0.3181818182 Simplifying x = 0.3181818182
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