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Simplifying x + -10(x + 2) = 13 + -7x Reorder the terms: x + -10(2 + x) = 13 + -7x x + (2 * -10 + x * -10) = 13 + -7x x + (-20 + -10x) = 13 + -7x Reorder the terms: -20 + x + -10x = 13 + -7x Combine like terms: x + -10x = -9x -20 + -9x = 13 + -7x Solving -20 + -9x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + -9x + 7x = 13 + -7x + 7x Combine like terms: -9x + 7x = -2x -20 + -2x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + -2x = 13 + 0 -20 + -2x = 13 Add '20' to each side of the equation. -20 + 20 + -2x = 13 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 13 + 20 -2x = 13 + 20 Combine like terms: 13 + 20 = 33 -2x = 33 Divide each side by '-2'. x = -16.5 Simplifying x = -16.5
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