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Simplifying 46 + -1(3x + 13) = 3(x + 4) + x Reorder the terms: 46 + -1(13 + 3x) = 3(x + 4) + x 46 + (13 * -1 + 3x * -1) = 3(x + 4) + x 46 + (-13 + -3x) = 3(x + 4) + x Combine like terms: 46 + -13 = 33 33 + -3x = 3(x + 4) + x Reorder the terms: 33 + -3x = 3(4 + x) + x 33 + -3x = (4 * 3 + x * 3) + x 33 + -3x = (12 + 3x) + x Combine like terms: 3x + x = 4x 33 + -3x = 12 + 4x Solving 33 + -3x = 12 + 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. 33 + -3x + -4x = 12 + 4x + -4x Combine like terms: -3x + -4x = -7x 33 + -7x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 33 + -7x = 12 + 0 33 + -7x = 12 Add '-33' to each side of the equation. 33 + -33 + -7x = 12 + -33 Combine like terms: 33 + -33 = 0 0 + -7x = 12 + -33 -7x = 12 + -33 Combine like terms: 12 + -33 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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