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Simplifying 4(4x + 4) = 3(5x + -2) + 9 Reorder the terms: 4(4 + 4x) = 3(5x + -2) + 9 (4 * 4 + 4x * 4) = 3(5x + -2) + 9 (16 + 16x) = 3(5x + -2) + 9 Reorder the terms: 16 + 16x = 3(-2 + 5x) + 9 16 + 16x = (-2 * 3 + 5x * 3) + 9 16 + 16x = (-6 + 15x) + 9 Reorder the terms: 16 + 16x = -6 + 9 + 15x Combine like terms: -6 + 9 = 3 16 + 16x = 3 + 15x Solving 16 + 16x = 3 + 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. 16 + 16x + -15x = 3 + 15x + -15x Combine like terms: 16x + -15x = 1x 16 + 1x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + 1x = 3 + 0 16 + 1x = 3 Add '-16' to each side of the equation. 16 + -16 + 1x = 3 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 3 + -16 1x = 3 + -16 Combine like terms: 3 + -16 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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