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Simplifying 4(4x + 9) = 2(5x + -3) Reorder the terms: 4(9 + 4x) = 2(5x + -3) (9 * 4 + 4x * 4) = 2(5x + -3) (36 + 16x) = 2(5x + -3) Reorder the terms: 36 + 16x = 2(-3 + 5x) 36 + 16x = (-3 * 2 + 5x * 2) 36 + 16x = (-6 + 10x) Solving 36 + 16x = -6 + 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. 36 + 16x + -10x = -6 + 10x + -10x Combine like terms: 16x + -10x = 6x 36 + 6x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + 6x = -6 + 0 36 + 6x = -6 Add '-36' to each side of the equation. 36 + -36 + 6x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = -6 + -36 6x = -6 + -36 Combine like terms: -6 + -36 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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