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Simplifying 10x + -2 = 9(x + -4) + -3 Reorder the terms: -2 + 10x = 9(x + -4) + -3 Reorder the terms: -2 + 10x = 9(-4 + x) + -3 -2 + 10x = (-4 * 9 + x * 9) + -3 -2 + 10x = (-36 + 9x) + -3 Reorder the terms: -2 + 10x = -36 + -3 + 9x Combine like terms: -36 + -3 = -39 -2 + 10x = -39 + 9x Solving -2 + 10x = -39 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 10x + -9x = -39 + 9x + -9x Combine like terms: 10x + -9x = 1x -2 + 1x = -39 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + 1x = -39 + 0 -2 + 1x = -39 Add '2' to each side of the equation. -2 + 2 + 1x = -39 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -39 + 2 1x = -39 + 2 Combine like terms: -39 + 2 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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