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Simplifying 12x + 9 + -4x + -4 = 3x + -7 + -1x + -30 Reorder the terms: 9 + -4 + 12x + -4x = 3x + -7 + -1x + -30 Combine like terms: 9 + -4 = 5 5 + 12x + -4x = 3x + -7 + -1x + -30 Combine like terms: 12x + -4x = 8x 5 + 8x = 3x + -7 + -1x + -30 Reorder the terms: 5 + 8x = -7 + -30 + 3x + -1x Combine like terms: -7 + -30 = -37 5 + 8x = -37 + 3x + -1x Combine like terms: 3x + -1x = 2x 5 + 8x = -37 + 2x Solving 5 + 8x = -37 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 8x + -2x = -37 + 2x + -2x Combine like terms: 8x + -2x = 6x 5 + 6x = -37 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 6x = -37 + 0 5 + 6x = -37 Add '-5' to each side of the equation. 5 + -5 + 6x = -37 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -37 + -5 6x = -37 + -5 Combine like terms: -37 + -5 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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