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Simplifying 3x + 4 + -10x = 5(x + -4) Reorder the terms: 4 + 3x + -10x = 5(x + -4) Combine like terms: 3x + -10x = -7x 4 + -7x = 5(x + -4) Reorder the terms: 4 + -7x = 5(-4 + x) 4 + -7x = (-4 * 5 + x * 5) 4 + -7x = (-20 + 5x) Solving 4 + -7x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -7x + -5x = -20 + 5x + -5x Combine like terms: -7x + -5x = -12x 4 + -12x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -12x = -20 + 0 4 + -12x = -20 Add '-4' to each side of the equation. 4 + -4 + -12x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -20 + -4 -12x = -20 + -4 Combine like terms: -20 + -4 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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