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Simplifying -3x + 5 + -2x + 4x = -3x + 35 + -4x Reorder the terms: 5 + -3x + -2x + 4x = -3x + 35 + -4x Combine like terms: -3x + -2x = -5x 5 + -5x + 4x = -3x + 35 + -4x Combine like terms: -5x + 4x = -1x 5 + -1x = -3x + 35 + -4x Reorder the terms: 5 + -1x = 35 + -3x + -4x Combine like terms: -3x + -4x = -7x 5 + -1x = 35 + -7x Solving 5 + -1x = 35 + -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. 5 + -1x + 7x = 35 + -7x + 7x Combine like terms: -1x + 7x = 6x 5 + 6x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 6x = 35 + 0 5 + 6x = 35 Add '-5' to each side of the equation. 5 + -5 + 6x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 35 + -5 6x = 35 + -5 Combine like terms: 35 + -5 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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