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Simplifying 4(x + -4) + 20 = 3(x + 3) Reorder the terms: 4(-4 + x) + 20 = 3(x + 3) (-4 * 4 + x * 4) + 20 = 3(x + 3) (-16 + 4x) + 20 = 3(x + 3) Reorder the terms: -16 + 20 + 4x = 3(x + 3) Combine like terms: -16 + 20 = 4 4 + 4x = 3(x + 3) Reorder the terms: 4 + 4x = 3(3 + x) 4 + 4x = (3 * 3 + x * 3) 4 + 4x = (9 + 3x) Solving 4 + 4x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 4x + -3x = 9 + 3x + -3x Combine like terms: 4x + -3x = 1x 4 + 1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 1x = 9 + 0 4 + 1x = 9 Add '-4' to each side of the equation. 4 + -4 + 1x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 9 + -4 1x = 9 + -4 Combine like terms: 9 + -4 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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