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Simplifying 7x + 4(2x + 5) = 10x + 18 Reorder the terms: 7x + 4(5 + 2x) = 10x + 18 7x + (5 * 4 + 2x * 4) = 10x + 18 7x + (20 + 8x) = 10x + 18 Reorder the terms: 20 + 7x + 8x = 10x + 18 Combine like terms: 7x + 8x = 15x 20 + 15x = 10x + 18 Reorder the terms: 20 + 15x = 18 + 10x Solving 20 + 15x = 18 + 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 = 18 + 10x + -10x Combine like terms: 15x + -10x = 5x 20 + 5x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 5x = 18 + 0 20 + 5x = 18 Add '-20' to each side of the equation. 20 + -20 + 5x = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 18 + -20 5x = 18 + -20 Combine like terms: 18 + -20 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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