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Simplifying 4(11x + -29) = -9x + 21(x + 28) Reorder the terms: 4(-29 + 11x) = -9x + 21(x + 28) (-29 * 4 + 11x * 4) = -9x + 21(x + 28) (-116 + 44x) = -9x + 21(x + 28) Reorder the terms: -116 + 44x = -9x + 21(28 + x) -116 + 44x = -9x + (28 * 21 + x * 21) -116 + 44x = -9x + (588 + 21x) Reorder the terms: -116 + 44x = 588 + -9x + 21x Combine like terms: -9x + 21x = 12x -116 + 44x = 588 + 12x Solving -116 + 44x = 588 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -116 + 44x + -12x = 588 + 12x + -12x Combine like terms: 44x + -12x = 32x -116 + 32x = 588 + 12x + -12x Combine like terms: 12x + -12x = 0 -116 + 32x = 588 + 0 -116 + 32x = 588 Add '116' to each side of the equation. -116 + 116 + 32x = 588 + 116 Combine like terms: -116 + 116 = 0 0 + 32x = 588 + 116 32x = 588 + 116 Combine like terms: 588 + 116 = 704 32x = 704 Divide each side by '32'. x = 22 Simplifying x = 22
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