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Simplifying 5(x + 3) = 4(2x + 9) + 4x Reorder the terms: 5(3 + x) = 4(2x + 9) + 4x (3 * 5 + x * 5) = 4(2x + 9) + 4x (15 + 5x) = 4(2x + 9) + 4x Reorder the terms: 15 + 5x = 4(9 + 2x) + 4x 15 + 5x = (9 * 4 + 2x * 4) + 4x 15 + 5x = (36 + 8x) + 4x Combine like terms: 8x + 4x = 12x 15 + 5x = 36 + 12x Solving 15 + 5x = 36 + 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. 15 + 5x + -12x = 36 + 12x + -12x Combine like terms: 5x + -12x = -7x 15 + -7x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -7x = 36 + 0 15 + -7x = 36 Add '-15' to each side of the equation. 15 + -15 + -7x = 36 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 36 + -15 -7x = 36 + -15 Combine like terms: 36 + -15 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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