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Simplifying 6(2x + -7) = 6(3x + -8) + -8x Reorder the terms: 6(-7 + 2x) = 6(3x + -8) + -8x (-7 * 6 + 2x * 6) = 6(3x + -8) + -8x (-42 + 12x) = 6(3x + -8) + -8x Reorder the terms: -42 + 12x = 6(-8 + 3x) + -8x -42 + 12x = (-8 * 6 + 3x * 6) + -8x -42 + 12x = (-48 + 18x) + -8x Combine like terms: 18x + -8x = 10x -42 + 12x = -48 + 10x Solving -42 + 12x = -48 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -42 + 12x + -10x = -48 + 10x + -10x Combine like terms: 12x + -10x = 2x -42 + 2x = -48 + 10x + -10x Combine like terms: 10x + -10x = 0 -42 + 2x = -48 + 0 -42 + 2x = -48 Add '42' to each side of the equation. -42 + 42 + 2x = -48 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = -48 + 42 2x = -48 + 42 Combine like terms: -48 + 42 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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