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Simplifying 20 + -7x + 5 = 4x + -3 + 2x + 34.5 Reorder the terms: 20 + 5 + -7x = 4x + -3 + 2x + 34.5 Combine like terms: 20 + 5 = 25 25 + -7x = 4x + -3 + 2x + 34.5 Reorder the terms: 25 + -7x = -3 + 34.5 + 4x + 2x Combine like terms: -3 + 34.5 = 31.5 25 + -7x = 31.5 + 4x + 2x Combine like terms: 4x + 2x = 6x 25 + -7x = 31.5 + 6x Solving 25 + -7x = 31.5 + 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. 25 + -7x + -6x = 31.5 + 6x + -6x Combine like terms: -7x + -6x = -13x 25 + -13x = 31.5 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -13x = 31.5 + 0 25 + -13x = 31.5 Add '-25' to each side of the equation. 25 + -25 + -13x = 31.5 + -25 Combine like terms: 25 + -25 = 0 0 + -13x = 31.5 + -25 -13x = 31.5 + -25 Combine like terms: 31.5 + -25 = 6.5 -13x = 6.5 Divide each side by '-13'. x = -0.5 Simplifying x = -0.5
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