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Simplifying 10x + -9 = -2[3x + 10] + -1 Reorder the terms: -9 + 10x = -2[3x + 10] + -1 Reorder the terms: -9 + 10x = -2[10 + 3x] + -1 -9 + 10x = [10 * -2 + 3x * -2] + -1 -9 + 10x = [-20 + -6x] + -1 Reorder the terms: -9 + 10x = -20 + -1 + -6x Combine like terms: -20 + -1 = -21 -9 + 10x = -21 + -6x Solving -9 + 10x = -21 + -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. -9 + 10x + 6x = -21 + -6x + 6x Combine like terms: 10x + 6x = 16x -9 + 16x = -21 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 16x = -21 + 0 -9 + 16x = -21 Add '9' to each side of the equation. -9 + 9 + 16x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 16x = -21 + 9 16x = -21 + 9 Combine like terms: -21 + 9 = -12 16x = -12 Divide each side by '16'. x = -0.75 Simplifying x = -0.75
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