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Simplifying -7(2x + -3) + 4(x + -5) = 9 Reorder the terms: -7(-3 + 2x) + 4(x + -5) = 9 (-3 * -7 + 2x * -7) + 4(x + -5) = 9 (21 + -14x) + 4(x + -5) = 9 Reorder the terms: 21 + -14x + 4(-5 + x) = 9 21 + -14x + (-5 * 4 + x * 4) = 9 21 + -14x + (-20 + 4x) = 9 Reorder the terms: 21 + -20 + -14x + 4x = 9 Combine like terms: 21 + -20 = 1 1 + -14x + 4x = 9 Combine like terms: -14x + 4x = -10x 1 + -10x = 9 Solving 1 + -10x = 9 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 = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 9 + -1 -10x = 9 + -1 Combine like terms: 9 + -1 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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