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Simplifying -3x + -10 + 5(7x + -3) = -1(x + 7) + 15 Reorder the terms: -3x + -10 + 5(-3 + 7x) = -1(x + 7) + 15 -3x + -10 + (-3 * 5 + 7x * 5) = -1(x + 7) + 15 -3x + -10 + (-15 + 35x) = -1(x + 7) + 15 Reorder the terms: -10 + -15 + -3x + 35x = -1(x + 7) + 15 Combine like terms: -10 + -15 = -25 -25 + -3x + 35x = -1(x + 7) + 15 Combine like terms: -3x + 35x = 32x -25 + 32x = -1(x + 7) + 15 Reorder the terms: -25 + 32x = -1(7 + x) + 15 -25 + 32x = (7 * -1 + x * -1) + 15 -25 + 32x = (-7 + -1x) + 15 Reorder the terms: -25 + 32x = -7 + 15 + -1x Combine like terms: -7 + 15 = 8 -25 + 32x = 8 + -1x Solving -25 + 32x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -25 + 32x + x = 8 + -1x + x Combine like terms: 32x + x = 33x -25 + 33x = 8 + -1x + x Combine like terms: -1x + x = 0 -25 + 33x = 8 + 0 -25 + 33x = 8 Add '25' to each side of the equation. -25 + 25 + 33x = 8 + 25 Combine like terms: -25 + 25 = 0 0 + 33x = 8 + 25 33x = 8 + 25 Combine like terms: 8 + 25 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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