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Simplifying -10(2x + -2) + 7(3x + -1) + -3 = 5 + -3 Reorder the terms: -10(-2 + 2x) + 7(3x + -1) + -3 = 5 + -3 (-2 * -10 + 2x * -10) + 7(3x + -1) + -3 = 5 + -3 (20 + -20x) + 7(3x + -1) + -3 = 5 + -3 Reorder the terms: 20 + -20x + 7(-1 + 3x) + -3 = 5 + -3 20 + -20x + (-1 * 7 + 3x * 7) + -3 = 5 + -3 20 + -20x + (-7 + 21x) + -3 = 5 + -3 Reorder the terms: 20 + -7 + -3 + -20x + 21x = 5 + -3 Combine like terms: 20 + -7 = 13 13 + -3 + -20x + 21x = 5 + -3 Combine like terms: 13 + -3 = 10 10 + -20x + 21x = 5 + -3 Combine like terms: -20x + 21x = 1x 10 + 1x = 5 + -3 Combine like terms: 5 + -3 = 2 10 + 1x = 2 Solving 10 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 2 + -10 1x = 2 + -10 Combine like terms: 2 + -10 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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