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Simplifying -4(x + 4) + 9(2x + -9) = 13(x + -8) + -7 Reorder the terms: -4(4 + x) + 9(2x + -9) = 13(x + -8) + -7 (4 * -4 + x * -4) + 9(2x + -9) = 13(x + -8) + -7 (-16 + -4x) + 9(2x + -9) = 13(x + -8) + -7 Reorder the terms: -16 + -4x + 9(-9 + 2x) = 13(x + -8) + -7 -16 + -4x + (-9 * 9 + 2x * 9) = 13(x + -8) + -7 -16 + -4x + (-81 + 18x) = 13(x + -8) + -7 Reorder the terms: -16 + -81 + -4x + 18x = 13(x + -8) + -7 Combine like terms: -16 + -81 = -97 -97 + -4x + 18x = 13(x + -8) + -7 Combine like terms: -4x + 18x = 14x -97 + 14x = 13(x + -8) + -7 Reorder the terms: -97 + 14x = 13(-8 + x) + -7 -97 + 14x = (-8 * 13 + x * 13) + -7 -97 + 14x = (-104 + 13x) + -7 Reorder the terms: -97 + 14x = -104 + -7 + 13x Combine like terms: -104 + -7 = -111 -97 + 14x = -111 + 13x Solving -97 + 14x = -111 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -97 + 14x + -13x = -111 + 13x + -13x Combine like terms: 14x + -13x = 1x -97 + 1x = -111 + 13x + -13x Combine like terms: 13x + -13x = 0 -97 + 1x = -111 + 0 -97 + 1x = -111 Add '97' to each side of the equation. -97 + 97 + 1x = -111 + 97 Combine like terms: -97 + 97 = 0 0 + 1x = -111 + 97 1x = -111 + 97 Combine like terms: -111 + 97 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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