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Simplifying 5(3x + 4) = 10(x + -2) Reorder the terms: 5(4 + 3x) = 10(x + -2) (4 * 5 + 3x * 5) = 10(x + -2) (20 + 15x) = 10(x + -2) Reorder the terms: 20 + 15x = 10(-2 + x) 20 + 15x = (-2 * 10 + x * 10) 20 + 15x = (-20 + 10x) Solving 20 + 15x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 15x + -10x = -20 + 10x + -10x Combine like terms: 15x + -10x = 5x 20 + 5x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 5x = -20 + 0 20 + 5x = -20 Add '-20' to each side of the equation. 20 + -20 + 5x = -20 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = -20 + -20 5x = -20 + -20 Combine like terms: -20 + -20 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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