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Simplifying -7(-4x + 10) = 7(-9x + 3) Reorder the terms: -7(10 + -4x) = 7(-9x + 3) (10 * -7 + -4x * -7) = 7(-9x + 3) (-70 + 28x) = 7(-9x + 3) Reorder the terms: -70 + 28x = 7(3 + -9x) -70 + 28x = (3 * 7 + -9x * 7) -70 + 28x = (21 + -63x) Solving -70 + 28x = 21 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. -70 + 28x + 63x = 21 + -63x + 63x Combine like terms: 28x + 63x = 91x -70 + 91x = 21 + -63x + 63x Combine like terms: -63x + 63x = 0 -70 + 91x = 21 + 0 -70 + 91x = 21 Add '70' to each side of the equation. -70 + 70 + 91x = 21 + 70 Combine like terms: -70 + 70 = 0 0 + 91x = 21 + 70 91x = 21 + 70 Combine like terms: 21 + 70 = 91 91x = 91 Divide each side by '91'. x = 1 Simplifying x = 1
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