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Simplifying 6(2x + -7) = 3(5x + -8) Reorder the terms: 6(-7 + 2x) = 3(5x + -8) (-7 * 6 + 2x * 6) = 3(5x + -8) (-42 + 12x) = 3(5x + -8) Reorder the terms: -42 + 12x = 3(-8 + 5x) -42 + 12x = (-8 * 3 + 5x * 3) -42 + 12x = (-24 + 15x) Solving -42 + 12x = -24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -42 + 12x + -15x = -24 + 15x + -15x Combine like terms: 12x + -15x = -3x -42 + -3x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 -42 + -3x = -24 + 0 -42 + -3x = -24 Add '42' to each side of the equation. -42 + 42 + -3x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -24 + 42 -3x = -24 + 42 Combine like terms: -24 + 42 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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