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Simplifying 7(3x + -5) = 8(x + -2) + 10 Reorder the terms: 7(-5 + 3x) = 8(x + -2) + 10 (-5 * 7 + 3x * 7) = 8(x + -2) + 10 (-35 + 21x) = 8(x + -2) + 10 Reorder the terms: -35 + 21x = 8(-2 + x) + 10 -35 + 21x = (-2 * 8 + x * 8) + 10 -35 + 21x = (-16 + 8x) + 10 Reorder the terms: -35 + 21x = -16 + 10 + 8x Combine like terms: -16 + 10 = -6 -35 + 21x = -6 + 8x Solving -35 + 21x = -6 + 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. -35 + 21x + -8x = -6 + 8x + -8x Combine like terms: 21x + -8x = 13x -35 + 13x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + 13x = -6 + 0 -35 + 13x = -6 Add '35' to each side of the equation. -35 + 35 + 13x = -6 + 35 Combine like terms: -35 + 35 = 0 0 + 13x = -6 + 35 13x = -6 + 35 Combine like terms: -6 + 35 = 29 13x = 29 Divide each side by '13'. x = 2.230769231 Simplifying x = 2.230769231
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