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Simplifying -13 + 14x = 15 + 18x + 20 Reorder the terms: -13 + 14x = 15 + 20 + 18x Combine like terms: 15 + 20 = 35 -13 + 14x = 35 + 18x Solving -13 + 14x = 35 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -13 + 14x + -18x = 35 + 18x + -18x Combine like terms: 14x + -18x = -4x -13 + -4x = 35 + 18x + -18x Combine like terms: 18x + -18x = 0 -13 + -4x = 35 + 0 -13 + -4x = 35 Add '13' to each side of the equation. -13 + 13 + -4x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 35 + 13 -4x = 35 + 13 Combine like terms: 35 + 13 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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