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Simplifying 2(5x + 3) = 6(x + -7) Reorder the terms: 2(3 + 5x) = 6(x + -7) (3 * 2 + 5x * 2) = 6(x + -7) (6 + 10x) = 6(x + -7) Reorder the terms: 6 + 10x = 6(-7 + x) 6 + 10x = (-7 * 6 + x * 6) 6 + 10x = (-42 + 6x) Solving 6 + 10x = -42 + 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. 6 + 10x + -6x = -42 + 6x + -6x Combine like terms: 10x + -6x = 4x 6 + 4x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 4x = -42 + 0 6 + 4x = -42 Add '-6' to each side of the equation. 6 + -6 + 4x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -42 + -6 4x = -42 + -6 Combine like terms: -42 + -6 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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