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Simplifying 7(x + -4) + -9(4x + -7) = 16 Reorder the terms: 7(-4 + x) + -9(4x + -7) = 16 (-4 * 7 + x * 7) + -9(4x + -7) = 16 (-28 + 7x) + -9(4x + -7) = 16 Reorder the terms: -28 + 7x + -9(-7 + 4x) = 16 -28 + 7x + (-7 * -9 + 4x * -9) = 16 -28 + 7x + (63 + -36x) = 16 Reorder the terms: -28 + 63 + 7x + -36x = 16 Combine like terms: -28 + 63 = 35 35 + 7x + -36x = 16 Combine like terms: 7x + -36x = -29x 35 + -29x = 16 Solving 35 + -29x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -29x = 16 + -35 Combine like terms: 35 + -35 = 0 0 + -29x = 16 + -35 -29x = 16 + -35 Combine like terms: 16 + -35 = -19 -29x = -19 Divide each side by '-29'. x = 0.6551724138 Simplifying x = 0.6551724138
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