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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 = 4x -9 + 4x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 4x = -21 + 0 -9 + 4x = -21 Add '9' to each side of the equation. -9 + 9 + 4x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -21 + 9 4x = -21 + 9 Combine like terms: -21 + 9 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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