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Simplifying 46 + -1(2x + 1) = 3(x + 5) + x Reorder the terms: 46 + -1(1 + 2x) = 3(x + 5) + x 46 + (1 * -1 + 2x * -1) = 3(x + 5) + x 46 + (-1 + -2x) = 3(x + 5) + x Combine like terms: 46 + -1 = 45 45 + -2x = 3(x + 5) + x Reorder the terms: 45 + -2x = 3(5 + x) + x 45 + -2x = (5 * 3 + x * 3) + x 45 + -2x = (15 + 3x) + x Combine like terms: 3x + x = 4x 45 + -2x = 15 + 4x Solving 45 + -2x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + -2x + -4x = 15 + 4x + -4x Combine like terms: -2x + -4x = -6x 45 + -6x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + -6x = 15 + 0 45 + -6x = 15 Add '-45' to each side of the equation. 45 + -45 + -6x = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 15 + -45 -6x = 15 + -45 Combine like terms: 15 + -45 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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