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Simplifying 7x + 21 + -16x + 12 = 4 + -7x + -3x + 7 Reorder the terms: 21 + 12 + 7x + -16x = 4 + -7x + -3x + 7 Combine like terms: 21 + 12 = 33 33 + 7x + -16x = 4 + -7x + -3x + 7 Combine like terms: 7x + -16x = -9x 33 + -9x = 4 + -7x + -3x + 7 Reorder the terms: 33 + -9x = 4 + 7 + -7x + -3x Combine like terms: 4 + 7 = 11 33 + -9x = 11 + -7x + -3x Combine like terms: -7x + -3x = -10x 33 + -9x = 11 + -10x Solving 33 + -9x = 11 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 33 + -9x + 10x = 11 + -10x + 10x Combine like terms: -9x + 10x = 1x 33 + 1x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 33 + 1x = 11 + 0 33 + 1x = 11 Add '-33' to each side of the equation. 33 + -33 + 1x = 11 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 11 + -33 1x = 11 + -33 Combine like terms: 11 + -33 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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