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Simplifying 2 + -5(3x + 4) = 14 + -7x Reorder the terms: 2 + -5(4 + 3x) = 14 + -7x 2 + (4 * -5 + 3x * -5) = 14 + -7x 2 + (-20 + -15x) = 14 + -7x Combine like terms: 2 + -20 = -18 -18 + -15x = 14 + -7x Solving -18 + -15x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -18 + -15x + 7x = 14 + -7x + 7x Combine like terms: -15x + 7x = -8x -18 + -8x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -18 + -8x = 14 + 0 -18 + -8x = 14 Add '18' to each side of the equation. -18 + 18 + -8x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + -8x = 14 + 18 -8x = 14 + 18 Combine like terms: 14 + 18 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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