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Simplifying 6(x + -5) + -1 = 4x + -5 Reorder the terms: 6(-5 + x) + -1 = 4x + -5 (-5 * 6 + x * 6) + -1 = 4x + -5 (-30 + 6x) + -1 = 4x + -5 Reorder the terms: -30 + -1 + 6x = 4x + -5 Combine like terms: -30 + -1 = -31 -31 + 6x = 4x + -5 Reorder the terms: -31 + 6x = -5 + 4x Solving -31 + 6x = -5 + 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. -31 + 6x + -4x = -5 + 4x + -4x Combine like terms: 6x + -4x = 2x -31 + 2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 2x = -5 + 0 -31 + 2x = -5 Add '31' to each side of the equation. -31 + 31 + 2x = -5 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = -5 + 31 2x = -5 + 31 Combine like terms: -5 + 31 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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