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Simplifying 3(4x + 14) = 10x + -2(x + -7) Reorder the terms: 3(14 + 4x) = 10x + -2(x + -7) (14 * 3 + 4x * 3) = 10x + -2(x + -7) (42 + 12x) = 10x + -2(x + -7) Reorder the terms: 42 + 12x = 10x + -2(-7 + x) 42 + 12x = 10x + (-7 * -2 + x * -2) 42 + 12x = 10x + (14 + -2x) Reorder the terms: 42 + 12x = 14 + 10x + -2x Combine like terms: 10x + -2x = 8x 42 + 12x = 14 + 8x Solving 42 + 12x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 42 + 12x + -8x = 14 + 8x + -8x Combine like terms: 12x + -8x = 4x 42 + 4x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + 4x = 14 + 0 42 + 4x = 14 Add '-42' to each side of the equation. 42 + -42 + 4x = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 14 + -42 4x = 14 + -42 Combine like terms: 14 + -42 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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