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Simplifying (5x + -3) + 5 = 6(x + -5) Reorder the terms: (-3 + 5x) + 5 = 6(x + -5) Remove parenthesis around (-3 + 5x) -3 + 5x + 5 = 6(x + -5) Reorder the terms: -3 + 5 + 5x = 6(x + -5) Combine like terms: -3 + 5 = 2 2 + 5x = 6(x + -5) Reorder the terms: 2 + 5x = 6(-5 + x) 2 + 5x = (-5 * 6 + x * 6) 2 + 5x = (-30 + 6x) Solving 2 + 5x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 5x + -6x = -30 + 6x + -6x Combine like terms: 5x + -6x = -1x 2 + -1x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -1x = -30 + 0 2 + -1x = -30 Add '-2' to each side of the equation. 2 + -2 + -1x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -30 + -2 -1x = -30 + -2 Combine like terms: -30 + -2 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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