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Simplifying 7x + 4(2x + 5) = 10 + 3x Reorder the terms: 7x + 4(5 + 2x) = 10 + 3x 7x + (5 * 4 + 2x * 4) = 10 + 3x 7x + (20 + 8x) = 10 + 3x Reorder the terms: 20 + 7x + 8x = 10 + 3x Combine like terms: 7x + 8x = 15x 20 + 15x = 10 + 3x Solving 20 + 15x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 15x + -3x = 10 + 3x + -3x Combine like terms: 15x + -3x = 12x 20 + 12x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 12x = 10 + 0 20 + 12x = 10 Add '-20' to each side of the equation. 20 + -20 + 12x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 10 + -20 12x = 10 + -20 Combine like terms: 10 + -20 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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