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Simplifying 46 + -1(3x + 4) = 2(x + 6) + x Reorder the terms: 46 + -1(4 + 3x) = 2(x + 6) + x 46 + (4 * -1 + 3x * -1) = 2(x + 6) + x 46 + (-4 + -3x) = 2(x + 6) + x Combine like terms: 46 + -4 = 42 42 + -3x = 2(x + 6) + x Reorder the terms: 42 + -3x = 2(6 + x) + x 42 + -3x = (6 * 2 + x * 2) + x 42 + -3x = (12 + 2x) + x Combine like terms: 2x + x = 3x 42 + -3x = 12 + 3x Solving 42 + -3x = 12 + 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. 42 + -3x + -3x = 12 + 3x + -3x Combine like terms: -3x + -3x = -6x 42 + -6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -6x = 12 + 0 42 + -6x = 12 Add '-42' to each side of the equation. 42 + -42 + -6x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 12 + -42 -6x = 12 + -42 Combine like terms: 12 + -42 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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