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Simplifying 8x + -1(3 + 5x) = 3(2x + -7) 8x + (3 * -1 + 5x * -1) = 3(2x + -7) 8x + (-3 + -5x) = 3(2x + -7) Reorder the terms: -3 + 8x + -5x = 3(2x + -7) Combine like terms: 8x + -5x = 3x -3 + 3x = 3(2x + -7) Reorder the terms: -3 + 3x = 3(-7 + 2x) -3 + 3x = (-7 * 3 + 2x * 3) -3 + 3x = (-21 + 6x) Solving -3 + 3x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 3x + -6x = -21 + 6x + -6x Combine like terms: 3x + -6x = -3x -3 + -3x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -3x = -21 + 0 -3 + -3x = -21 Add '3' to each side of the equation. -3 + 3 + -3x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -21 + 3 -3x = -21 + 3 Combine like terms: -21 + 3 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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