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Simplifying 7x + -10 = 6(2x + -5) Reorder the terms: -10 + 7x = 6(2x + -5) Reorder the terms: -10 + 7x = 6(-5 + 2x) -10 + 7x = (-5 * 6 + 2x * 6) -10 + 7x = (-30 + 12x) Solving -10 + 7x = -30 + 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. -10 + 7x + -12x = -30 + 12x + -12x Combine like terms: 7x + -12x = -5x -10 + -5x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -5x = -30 + 0 -10 + -5x = -30 Add '10' to each side of the equation. -10 + 10 + -5x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -30 + 10 -5x = -30 + 10 Combine like terms: -30 + 10 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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