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Simplifying 4(4x + 9) + -1(4x + -2) = 3x + 8 Reorder the terms: 4(9 + 4x) + -1(4x + -2) = 3x + 8 (9 * 4 + 4x * 4) + -1(4x + -2) = 3x + 8 (36 + 16x) + -1(4x + -2) = 3x + 8 Reorder the terms: 36 + 16x + -1(-2 + 4x) = 3x + 8 36 + 16x + (-2 * -1 + 4x * -1) = 3x + 8 36 + 16x + (2 + -4x) = 3x + 8 Reorder the terms: 36 + 2 + 16x + -4x = 3x + 8 Combine like terms: 36 + 2 = 38 38 + 16x + -4x = 3x + 8 Combine like terms: 16x + -4x = 12x 38 + 12x = 3x + 8 Reorder the terms: 38 + 12x = 8 + 3x Solving 38 + 12x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + 12x + -3x = 8 + 3x + -3x Combine like terms: 12x + -3x = 9x 38 + 9x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + 9x = 8 + 0 38 + 9x = 8 Add '-38' to each side of the equation. 38 + -38 + 9x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 9x = 8 + -38 9x = 8 + -38 Combine like terms: 8 + -38 = -30 9x = -30 Divide each side by '9'. x = -3.333333333 Simplifying x = -3.333333333
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