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Simplifying 2(3x + -7) + -1(4x + 5) = x + -10 Reorder the terms: 2(-7 + 3x) + -1(4x + 5) = x + -10 (-7 * 2 + 3x * 2) + -1(4x + 5) = x + -10 (-14 + 6x) + -1(4x + 5) = x + -10 Reorder the terms: -14 + 6x + -1(5 + 4x) = x + -10 -14 + 6x + (5 * -1 + 4x * -1) = x + -10 -14 + 6x + (-5 + -4x) = x + -10 Reorder the terms: -14 + -5 + 6x + -4x = x + -10 Combine like terms: -14 + -5 = -19 -19 + 6x + -4x = x + -10 Combine like terms: 6x + -4x = 2x -19 + 2x = x + -10 Reorder the terms: -19 + 2x = -10 + x Solving -19 + 2x = -10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -19 + 2x + -1x = -10 + x + -1x Combine like terms: 2x + -1x = 1x -19 + 1x = -10 + x + -1x Combine like terms: x + -1x = 0 -19 + 1x = -10 + 0 -19 + 1x = -10 Add '19' to each side of the equation. -19 + 19 + 1x = -10 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = -10 + 19 1x = -10 + 19 Combine like terms: -10 + 19 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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