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Simplifying 10x + -8 = -3(x + 4) + -9 Reorder the terms: -8 + 10x = -3(x + 4) + -9 Reorder the terms: -8 + 10x = -3(4 + x) + -9 -8 + 10x = (4 * -3 + x * -3) + -9 -8 + 10x = (-12 + -3x) + -9 Reorder the terms: -8 + 10x = -12 + -9 + -3x Combine like terms: -12 + -9 = -21 -8 + 10x = -21 + -3x Solving -8 + 10x = -21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 10x + 3x = -21 + -3x + 3x Combine like terms: 10x + 3x = 13x -8 + 13x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 13x = -21 + 0 -8 + 13x = -21 Add '8' to each side of the equation. -8 + 8 + 13x = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = -21 + 8 13x = -21 + 8 Combine like terms: -21 + 8 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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