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Simplifying 46 + -1(2x + 8) = 2(x + 4) + x Reorder the terms: 46 + -1(8 + 2x) = 2(x + 4) + x 46 + (8 * -1 + 2x * -1) = 2(x + 4) + x 46 + (-8 + -2x) = 2(x + 4) + x Combine like terms: 46 + -8 = 38 38 + -2x = 2(x + 4) + x Reorder the terms: 38 + -2x = 2(4 + x) + x 38 + -2x = (4 * 2 + x * 2) + x 38 + -2x = (8 + 2x) + x Combine like terms: 2x + x = 3x 38 + -2x = 8 + 3x Solving 38 + -2x = 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 + -2x + -3x = 8 + 3x + -3x Combine like terms: -2x + -3x = -5x 38 + -5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + -5x = 8 + 0 38 + -5x = 8 Add '-38' to each side of the equation. 38 + -38 + -5x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 8 + -38 -5x = 8 + -38 Combine like terms: 8 + -38 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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