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Simplifying 17 + -2x + 18 + 3x = -4x + -15 + 10x Reorder the terms: 17 + 18 + -2x + 3x = -4x + -15 + 10x Combine like terms: 17 + 18 = 35 35 + -2x + 3x = -4x + -15 + 10x Combine like terms: -2x + 3x = 1x 35 + 1x = -4x + -15 + 10x Reorder the terms: 35 + 1x = -15 + -4x + 10x Combine like terms: -4x + 10x = 6x 35 + 1x = -15 + 6x Solving 35 + 1x = -15 + 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. 35 + 1x + -6x = -15 + 6x + -6x Combine like terms: 1x + -6x = -5x 35 + -5x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -5x = -15 + 0 35 + -5x = -15 Add '-35' to each side of the equation. 35 + -35 + -5x = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = -15 + -35 -5x = -15 + -35 Combine like terms: -15 + -35 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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