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Simplifying 8(x + -7) + 32 = 7x + -5 Reorder the terms: 8(-7 + x) + 32 = 7x + -5 (-7 * 8 + x * 8) + 32 = 7x + -5 (-56 + 8x) + 32 = 7x + -5 Reorder the terms: -56 + 32 + 8x = 7x + -5 Combine like terms: -56 + 32 = -24 -24 + 8x = 7x + -5 Reorder the terms: -24 + 8x = -5 + 7x Solving -24 + 8x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 8x + -7x = -5 + 7x + -7x Combine like terms: 8x + -7x = 1x -24 + 1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 1x = -5 + 0 -24 + 1x = -5 Add '24' to each side of the equation. -24 + 24 + 1x = -5 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -5 + 24 1x = -5 + 24 Combine like terms: -5 + 24 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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