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Simplifying 3[2x + -1] + 2[1 + -5x] = 9 + x Reorder the terms: 3[-1 + 2x] + 2[1 + -5x] = 9 + x [-1 * 3 + 2x * 3] + 2[1 + -5x] = 9 + x [-3 + 6x] + 2[1 + -5x] = 9 + x -3 + 6x + [1 * 2 + -5x * 2] = 9 + x -3 + 6x + [2 + -10x] = 9 + x Reorder the terms: -3 + 2 + 6x + -10x = 9 + x Combine like terms: -3 + 2 = -1 -1 + 6x + -10x = 9 + x Combine like terms: 6x + -10x = -4x -1 + -4x = 9 + x Solving -1 + -4x = 9 + 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. -1 + -4x + -1x = 9 + x + -1x Combine like terms: -4x + -1x = -5x -1 + -5x = 9 + x + -1x Combine like terms: x + -1x = 0 -1 + -5x = 9 + 0 -1 + -5x = 9 Add '1' to each side of the equation. -1 + 1 + -5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 9 + 1 -5x = 9 + 1 Combine like terms: 9 + 1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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