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Simplifying -7(x + 3) + x = 8(5 + -1x) Reorder the terms: -7(3 + x) + x = 8(5 + -1x) (3 * -7 + x * -7) + x = 8(5 + -1x) (-21 + -7x) + x = 8(5 + -1x) Combine like terms: -7x + x = -6x -21 + -6x = 8(5 + -1x) -21 + -6x = (5 * 8 + -1x * 8) -21 + -6x = (40 + -8x) Solving -21 + -6x = 40 + -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 + -6x + 8x = 40 + -8x + 8x Combine like terms: -6x + 8x = 2x -21 + 2x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + 2x = 40 + 0 -21 + 2x = 40 Add '21' to each side of the equation. -21 + 21 + 2x = 40 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 40 + 21 2x = 40 + 21 Combine like terms: 40 + 21 = 61 2x = 61 Divide each side by '2'. x = 30.5 Simplifying x = 30.5
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