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Simplifying -10(2x + -4) + 7(3x + -3) + -4 = 3 + -2 Reorder the terms: -10(-4 + 2x) + 7(3x + -3) + -4 = 3 + -2 (-4 * -10 + 2x * -10) + 7(3x + -3) + -4 = 3 + -2 (40 + -20x) + 7(3x + -3) + -4 = 3 + -2 Reorder the terms: 40 + -20x + 7(-3 + 3x) + -4 = 3 + -2 40 + -20x + (-3 * 7 + 3x * 7) + -4 = 3 + -2 40 + -20x + (-21 + 21x) + -4 = 3 + -2 Reorder the terms: 40 + -21 + -4 + -20x + 21x = 3 + -2 Combine like terms: 40 + -21 = 19 19 + -4 + -20x + 21x = 3 + -2 Combine like terms: 19 + -4 = 15 15 + -20x + 21x = 3 + -2 Combine like terms: -20x + 21x = 1x 15 + 1x = 3 + -2 Combine like terms: 3 + -2 = 1 15 + 1x = 1 Solving 15 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 1x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 1 + -15 1x = 1 + -15 Combine like terms: 1 + -15 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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