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Simplifying 6(2x + -7) = 3(2x + -10) Reorder the terms: 6(-7 + 2x) = 3(2x + -10) (-7 * 6 + 2x * 6) = 3(2x + -10) (-42 + 12x) = 3(2x + -10) Reorder the terms: -42 + 12x = 3(-10 + 2x) -42 + 12x = (-10 * 3 + 2x * 3) -42 + 12x = (-30 + 6x) Solving -42 + 12x = -30 + 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. -42 + 12x + -6x = -30 + 6x + -6x Combine like terms: 12x + -6x = 6x -42 + 6x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 6x = -30 + 0 -42 + 6x = -30 Add '42' to each side of the equation. -42 + 42 + 6x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -30 + 42 6x = -30 + 42 Combine like terms: -30 + 42 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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