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Simplifying 5x + -6(x + -5) = 2(x + 5) + (x + -4) Reorder the terms: 5x + -6(-5 + x) = 2(x + 5) + (x + -4) 5x + (-5 * -6 + x * -6) = 2(x + 5) + (x + -4) 5x + (30 + -6x) = 2(x + 5) + (x + -4) Reorder the terms: 30 + 5x + -6x = 2(x + 5) + (x + -4) Combine like terms: 5x + -6x = -1x 30 + -1x = 2(x + 5) + (x + -4) Reorder the terms: 30 + -1x = 2(5 + x) + (x + -4) 30 + -1x = (5 * 2 + x * 2) + (x + -4) 30 + -1x = (10 + 2x) + (x + -4) Reorder the terms: 30 + -1x = 10 + 2x + (-4 + x) Remove parenthesis around (-4 + x) 30 + -1x = 10 + 2x + -4 + x Reorder the terms: 30 + -1x = 10 + -4 + 2x + x Combine like terms: 10 + -4 = 6 30 + -1x = 6 + 2x + x Combine like terms: 2x + x = 3x 30 + -1x = 6 + 3x Solving 30 + -1x = 6 + 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. 30 + -1x + -3x = 6 + 3x + -3x Combine like terms: -1x + -3x = -4x 30 + -4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -4x = 6 + 0 30 + -4x = 6 Add '-30' to each side of the equation. 30 + -30 + -4x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 6 + -30 -4x = 6 + -30 Combine like terms: 6 + -30 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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