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Simplifying 3x + -10 + -1x + -5 = 5x + 3 + -4x Reorder the terms: -10 + -5 + 3x + -1x = 5x + 3 + -4x Combine like terms: -10 + -5 = -15 -15 + 3x + -1x = 5x + 3 + -4x Combine like terms: 3x + -1x = 2x -15 + 2x = 5x + 3 + -4x Reorder the terms: -15 + 2x = 3 + 5x + -4x Combine like terms: 5x + -4x = 1x -15 + 2x = 3 + 1x Solving -15 + 2x = 3 + 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. -15 + 2x + -1x = 3 + 1x + -1x Combine like terms: 2x + -1x = 1x -15 + 1x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 1x = 3 + 0 -15 + 1x = 3 Add '15' to each side of the equation. -15 + 15 + 1x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 3 + 15 1x = 3 + 15 Combine like terms: 3 + 15 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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