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Simplifying 4(2x + 9) = 3(5x + -2) Reorder the terms: 4(9 + 2x) = 3(5x + -2) (9 * 4 + 2x * 4) = 3(5x + -2) (36 + 8x) = 3(5x + -2) Reorder the terms: 36 + 8x = 3(-2 + 5x) 36 + 8x = (-2 * 3 + 5x * 3) 36 + 8x = (-6 + 15x) Solving 36 + 8x = -6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 36 + 8x + -15x = -6 + 15x + -15x Combine like terms: 8x + -15x = -7x 36 + -7x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 36 + -7x = -6 + 0 36 + -7x = -6 Add '-36' to each side of the equation. 36 + -36 + -7x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -7x = -6 + -36 -7x = -6 + -36 Combine like terms: -6 + -36 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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