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Simplifying 58 + -1(3x + 6) = 4(x + 5) + x Reorder the terms: 58 + -1(6 + 3x) = 4(x + 5) + x 58 + (6 * -1 + 3x * -1) = 4(x + 5) + x 58 + (-6 + -3x) = 4(x + 5) + x Combine like terms: 58 + -6 = 52 52 + -3x = 4(x + 5) + x Reorder the terms: 52 + -3x = 4(5 + x) + x 52 + -3x = (5 * 4 + x * 4) + x 52 + -3x = (20 + 4x) + x Combine like terms: 4x + x = 5x 52 + -3x = 20 + 5x Solving 52 + -3x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 52 + -3x + -5x = 20 + 5x + -5x Combine like terms: -3x + -5x = -8x 52 + -8x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 52 + -8x = 20 + 0 52 + -8x = 20 Add '-52' to each side of the equation. 52 + -52 + -8x = 20 + -52 Combine like terms: 52 + -52 = 0 0 + -8x = 20 + -52 -8x = 20 + -52 Combine like terms: 20 + -52 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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