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Simplifying 10 + -5x = 10x + 5(x + -6) Reorder the terms: 10 + -5x = 10x + 5(-6 + x) 10 + -5x = 10x + (-6 * 5 + x * 5) 10 + -5x = 10x + (-30 + 5x) Reorder the terms: 10 + -5x = -30 + 10x + 5x Combine like terms: 10x + 5x = 15x 10 + -5x = -30 + 15x Solving 10 + -5x = -30 + 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. 10 + -5x + -15x = -30 + 15x + -15x Combine like terms: -5x + -15x = -20x 10 + -20x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -20x = -30 + 0 10 + -20x = -30 Add '-10' to each side of the equation. 10 + -10 + -20x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = -30 + -10 -20x = -30 + -10 Combine like terms: -30 + -10 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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