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Simplifying 4[x + 7] = 9[x + -1] + 22 Reorder the terms: 4[7 + x] = 9[x + -1] + 22 [7 * 4 + x * 4] = 9[x + -1] + 22 [28 + 4x] = 9[x + -1] + 22 Reorder the terms: 28 + 4x = 9[-1 + x] + 22 28 + 4x = [-1 * 9 + x * 9] + 22 28 + 4x = [-9 + 9x] + 22 Reorder the terms: 28 + 4x = -9 + 22 + 9x Combine like terms: -9 + 22 = 13 28 + 4x = 13 + 9x Solving 28 + 4x = 13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + 4x + -9x = 13 + 9x + -9x Combine like terms: 4x + -9x = -5x 28 + -5x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + -5x = 13 + 0 28 + -5x = 13 Add '-28' to each side of the equation. 28 + -28 + -5x = 13 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 13 + -28 -5x = 13 + -28 Combine like terms: 13 + -28 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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