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Simplifying 4x + 13 = 7x + -20 Reorder the terms: 13 + 4x = 7x + -20 Reorder the terms: 13 + 4x = -20 + 7x Solving 13 + 4x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 4x + -7x = -20 + 7x + -7x Combine like terms: 4x + -7x = -3x 13 + -3x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -3x = -20 + 0 13 + -3x = -20 Add '-13' to each side of the equation. 13 + -13 + -3x = -20 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -20 + -13 -3x = -20 + -13 Combine like terms: -20 + -13 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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