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Simplifying 4x + 13x + -5 = 3x + 7 + -2x Reorder the terms: -5 + 4x + 13x = 3x + 7 + -2x Combine like terms: 4x + 13x = 17x -5 + 17x = 3x + 7 + -2x Reorder the terms: -5 + 17x = 7 + 3x + -2x Combine like terms: 3x + -2x = 1x -5 + 17x = 7 + 1x Solving -5 + 17x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 17x + -1x = 7 + 1x + -1x Combine like terms: 17x + -1x = 16x -5 + 16x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 16x = 7 + 0 -5 + 16x = 7 Add '5' to each side of the equation. -5 + 5 + 16x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 16x = 7 + 5 16x = 7 + 5 Combine like terms: 7 + 5 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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