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Simplifying 21 + 3x + 4(x + 2) = 6x + -17 Reorder the terms: 21 + 3x + 4(2 + x) = 6x + -17 21 + 3x + (2 * 4 + x * 4) = 6x + -17 21 + 3x + (8 + 4x) = 6x + -17 Reorder the terms: 21 + 8 + 3x + 4x = 6x + -17 Combine like terms: 21 + 8 = 29 29 + 3x + 4x = 6x + -17 Combine like terms: 3x + 4x = 7x 29 + 7x = 6x + -17 Reorder the terms: 29 + 7x = -17 + 6x Solving 29 + 7x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 29 + 7x + -6x = -17 + 6x + -6x Combine like terms: 7x + -6x = 1x 29 + 1x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + 1x = -17 + 0 29 + 1x = -17 Add '-29' to each side of the equation. 29 + -29 + 1x = -17 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = -17 + -29 1x = -17 + -29 Combine like terms: -17 + -29 = -46 1x = -46 Divide each side by '1'. x = -46 Simplifying x = -46
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