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Simplifying 58 + -1(3x + 15) = 3(X + 5) + x Reorder the terms: 58 + -1(15 + 3x) = 3(X + 5) + x 58 + (15 * -1 + 3x * -1) = 3(X + 5) + x 58 + (-15 + -3x) = 3(X + 5) + x Combine like terms: 58 + -15 = 43 43 + -3x = 3(X + 5) + x Reorder the terms: 43 + -3x = 3(5 + X) + x 43 + -3x = (5 * 3 + X * 3) + x 43 + -3x = (15 + 3X) + x Solving 43 + -3x = 15 + 3X + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 43 + -3x + -1x = 15 + 3X + x + -1x Combine like terms: -3x + -1x = -4x 43 + -4x = 15 + 3X + x + -1x Combine like terms: x + -1x = 0 43 + -4x = 15 + 3X + 0 43 + -4x = 15 + 3X Add '-43' to each side of the equation. 43 + -43 + -4x = 15 + -43 + 3X Combine like terms: 43 + -43 = 0 0 + -4x = 15 + -43 + 3X -4x = 15 + -43 + 3X Combine like terms: 15 + -43 = -28 -4x = -28 + 3X Divide each side by '-4'. x = 7 + -0.75X Simplifying x = 7 + -0.75X
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