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Simplifying 4(4x + -4) = 3(5x + 9) + -20 Reorder the terms: 4(-4 + 4x) = 3(5x + 9) + -20 (-4 * 4 + 4x * 4) = 3(5x + 9) + -20 (-16 + 16x) = 3(5x + 9) + -20 Reorder the terms: -16 + 16x = 3(9 + 5x) + -20 -16 + 16x = (9 * 3 + 5x * 3) + -20 -16 + 16x = (27 + 15x) + -20 Reorder the terms: -16 + 16x = 27 + -20 + 15x Combine like terms: 27 + -20 = 7 -16 + 16x = 7 + 15x Solving -16 + 16x = 7 + 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 = 7 + 15x + -15x Combine like terms: 16x + -15x = 1x -16 + 1x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 -16 + 1x = 7 + 0 -16 + 1x = 7 Add '16' to each side of the equation. -16 + 16 + 1x = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 7 + 16 1x = 7 + 16 Combine like terms: 7 + 16 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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