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Simplifying 7x + -13 = 8x + -33 Reorder the terms: -13 + 7x = 8x + -33 Reorder the terms: -13 + 7x = -33 + 8x Solving -13 + 7x = -33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -13 + 7x + -8x = -33 + 8x + -8x Combine like terms: 7x + -8x = -1x -13 + -1x = -33 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -1x = -33 + 0 -13 + -1x = -33 Add '13' to each side of the equation. -13 + 13 + -1x = -33 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -33 + 13 -1x = -33 + 13 Combine like terms: -33 + 13 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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