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Simplifying -6(x + 5) + 3 = -7x + 8 Reorder the terms: -6(5 + x) + 3 = -7x + 8 (5 * -6 + x * -6) + 3 = -7x + 8 (-30 + -6x) + 3 = -7x + 8 Reorder the terms: -30 + 3 + -6x = -7x + 8 Combine like terms: -30 + 3 = -27 -27 + -6x = -7x + 8 Reorder the terms: -27 + -6x = 8 + -7x Solving -27 + -6x = 8 + -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. -27 + -6x + 7x = 8 + -7x + 7x Combine like terms: -6x + 7x = 1x -27 + 1x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 -27 + 1x = 8 + 0 -27 + 1x = 8 Add '27' to each side of the equation. -27 + 27 + 1x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 8 + 27 1x = 8 + 27 Combine like terms: 8 + 27 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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