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Simplifying -10x + -3 = 2(5 + 6x) + -9x + -3 + -1(1 + -1x) Reorder the terms: -3 + -10x = 2(5 + 6x) + -9x + -3 + -1(1 + -1x) -3 + -10x = (5 * 2 + 6x * 2) + -9x + -3 + -1(1 + -1x) -3 + -10x = (10 + 12x) + -9x + -3 + -1(1 + -1x) -3 + -10x = 10 + 12x + -9x + -3 + (1 * -1 + -1x * -1) -3 + -10x = 10 + 12x + -9x + -3 + (-1 + 1x) Reorder the terms: -3 + -10x = 10 + -3 + -1 + 12x + -9x + 1x Combine like terms: 10 + -3 = 7 -3 + -10x = 7 + -1 + 12x + -9x + 1x Combine like terms: 7 + -1 = 6 -3 + -10x = 6 + 12x + -9x + 1x Combine like terms: 12x + -9x = 3x -3 + -10x = 6 + 3x + 1x Combine like terms: 3x + 1x = 4x -3 + -10x = 6 + 4x Solving -3 + -10x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + -10x + -4x = 6 + 4x + -4x Combine like terms: -10x + -4x = -14x -3 + -14x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -14x = 6 + 0 -3 + -14x = 6 Add '3' to each side of the equation. -3 + 3 + -14x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = 6 + 3 -14x = 6 + 3 Combine like terms: 6 + 3 = 9 -14x = 9 Divide each side by '-14'. x = -0.6428571429 Simplifying x = -0.6428571429
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