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Simplifying 5x + -2 + -3x = 17 + 12x + -23 Reorder the terms: -2 + 5x + -3x = 17 + 12x + -23 Combine like terms: 5x + -3x = 2x -2 + 2x = 17 + 12x + -23 Reorder the terms: -2 + 2x = 17 + -23 + 12x Combine like terms: 17 + -23 = -6 -2 + 2x = -6 + 12x Solving -2 + 2x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 2x + -12x = -6 + 12x + -12x Combine like terms: 2x + -12x = -10x -2 + -10x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -10x = -6 + 0 -2 + -10x = -6 Add '2' to each side of the equation. -2 + 2 + -10x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -6 + 2 -10x = -6 + 2 Combine like terms: -6 + 2 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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