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Simplifying 7(3x + -4) = -2(-10x + 10) Reorder the terms: 7(-4 + 3x) = -2(-10x + 10) (-4 * 7 + 3x * 7) = -2(-10x + 10) (-28 + 21x) = -2(-10x + 10) Reorder the terms: -28 + 21x = -2(10 + -10x) -28 + 21x = (10 * -2 + -10x * -2) -28 + 21x = (-20 + 20x) Solving -28 + 21x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -28 + 21x + -20x = -20 + 20x + -20x Combine like terms: 21x + -20x = 1x -28 + 1x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 -28 + 1x = -20 + 0 -28 + 1x = -20 Add '28' to each side of the equation. -28 + 28 + 1x = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -20 + 28 1x = -20 + 28 Combine like terms: -20 + 28 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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