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Simplifying 7(x + -3) = 8(x + 1) Reorder the terms: 7(-3 + x) = 8(x + 1) (-3 * 7 + x * 7) = 8(x + 1) (-21 + 7x) = 8(x + 1) Reorder the terms: -21 + 7x = 8(1 + x) -21 + 7x = (1 * 8 + x * 8) -21 + 7x = (8 + 8x) Solving -21 + 7x = 8 + 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. -21 + 7x + -8x = 8 + 8x + -8x Combine like terms: 7x + -8x = -1x -21 + -1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -1x = 8 + 0 -21 + -1x = 8 Add '21' to each side of the equation. -21 + 21 + -1x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 8 + 21 -1x = 8 + 21 Combine like terms: 8 + 21 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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