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Simplifying -3(2x + -7) + -4(x + 5) = 14 Reorder the terms: -3(-7 + 2x) + -4(x + 5) = 14 (-7 * -3 + 2x * -3) + -4(x + 5) = 14 (21 + -6x) + -4(x + 5) = 14 Reorder the terms: 21 + -6x + -4(5 + x) = 14 21 + -6x + (5 * -4 + x * -4) = 14 21 + -6x + (-20 + -4x) = 14 Reorder the terms: 21 + -20 + -6x + -4x = 14 Combine like terms: 21 + -20 = 1 1 + -6x + -4x = 14 Combine like terms: -6x + -4x = -10x 1 + -10x = 14 Solving 1 + -10x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 14 + -1 -10x = 14 + -1 Combine like terms: 14 + -1 = 13 -10x = 13 Divide each side by '-10'. x = -1.3 Simplifying x = -1.3
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