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Simplifying 7(x + -7) + 3 = 8(x + -3) Reorder the terms: 7(-7 + x) + 3 = 8(x + -3) (-7 * 7 + x * 7) + 3 = 8(x + -3) (-49 + 7x) + 3 = 8(x + -3) Reorder the terms: -49 + 3 + 7x = 8(x + -3) Combine like terms: -49 + 3 = -46 -46 + 7x = 8(x + -3) Reorder the terms: -46 + 7x = 8(-3 + x) -46 + 7x = (-3 * 8 + x * 8) -46 + 7x = (-24 + 8x) Solving -46 + 7x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -46 + 7x + -8x = -24 + 8x + -8x Combine like terms: 7x + -8x = -1x -46 + -1x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -46 + -1x = -24 + 0 -46 + -1x = -24 Add '46' to each side of the equation. -46 + 46 + -1x = -24 + 46 Combine like terms: -46 + 46 = 0 0 + -1x = -24 + 46 -1x = -24 + 46 Combine like terms: -24 + 46 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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