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Simplifying -3(x + -27) + 9(x + 3) = x + 4 Reorder the terms: -3(-27 + x) + 9(x + 3) = x + 4 (-27 * -3 + x * -3) + 9(x + 3) = x + 4 (81 + -3x) + 9(x + 3) = x + 4 Reorder the terms: 81 + -3x + 9(3 + x) = x + 4 81 + -3x + (3 * 9 + x * 9) = x + 4 81 + -3x + (27 + 9x) = x + 4 Reorder the terms: 81 + 27 + -3x + 9x = x + 4 Combine like terms: 81 + 27 = 108 108 + -3x + 9x = x + 4 Combine like terms: -3x + 9x = 6x 108 + 6x = x + 4 Reorder the terms: 108 + 6x = 4 + x Solving 108 + 6x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 108 + 6x + -1x = 4 + x + -1x Combine like terms: 6x + -1x = 5x 108 + 5x = 4 + x + -1x Combine like terms: x + -1x = 0 108 + 5x = 4 + 0 108 + 5x = 4 Add '-108' to each side of the equation. 108 + -108 + 5x = 4 + -108 Combine like terms: 108 + -108 = 0 0 + 5x = 4 + -108 5x = 4 + -108 Combine like terms: 4 + -108 = -104 5x = -104 Divide each side by '5'. x = -20.8 Simplifying x = -20.8
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