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Simplifying 4(x + 4) + -3 = 21 + -5x + -8 + 9 Reorder the terms: 4(4 + x) + -3 = 21 + -5x + -8 + 9 (4 * 4 + x * 4) + -3 = 21 + -5x + -8 + 9 (16 + 4x) + -3 = 21 + -5x + -8 + 9 Reorder the terms: 16 + -3 + 4x = 21 + -5x + -8 + 9 Combine like terms: 16 + -3 = 13 13 + 4x = 21 + -5x + -8 + 9 Reorder the terms: 13 + 4x = 21 + -8 + 9 + -5x Combine like terms: 21 + -8 = 13 13 + 4x = 13 + 9 + -5x Combine like terms: 13 + 9 = 22 13 + 4x = 22 + -5x Solving 13 + 4x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + 4x + 5x = 22 + -5x + 5x Combine like terms: 4x + 5x = 9x 13 + 9x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 9x = 22 + 0 13 + 9x = 22 Add '-13' to each side of the equation. 13 + -13 + 9x = 22 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = 22 + -13 9x = 22 + -13 Combine like terms: 22 + -13 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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