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Simplifying 3x + 10x + -5 = 8 + -12 + 15x Reorder the terms: -5 + 3x + 10x = 8 + -12 + 15x Combine like terms: 3x + 10x = 13x -5 + 13x = 8 + -12 + 15x Combine like terms: 8 + -12 = -4 -5 + 13x = -4 + 15x Solving -5 + 13x = -4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 13x + -15x = -4 + 15x + -15x Combine like terms: 13x + -15x = -2x -5 + -2x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -2x = -4 + 0 -5 + -2x = -4 Add '5' to each side of the equation. -5 + 5 + -2x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -4 + 5 -2x = -4 + 5 Combine like terms: -4 + 5 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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