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Simplifying -4(-8x + -8) + 7(7 + -2x) = (16 + 19x) Reorder the terms: -4(-8 + -8x) + 7(7 + -2x) = (16 + 19x) (-8 * -4 + -8x * -4) + 7(7 + -2x) = (16 + 19x) (32 + 32x) + 7(7 + -2x) = (16 + 19x) 32 + 32x + (7 * 7 + -2x * 7) = (16 + 19x) 32 + 32x + (49 + -14x) = (16 + 19x) Reorder the terms: 32 + 49 + 32x + -14x = (16 + 19x) Combine like terms: 32 + 49 = 81 81 + 32x + -14x = (16 + 19x) Combine like terms: 32x + -14x = 18x 81 + 18x = (16 + 19x) Remove parenthesis around (16 + 19x) 81 + 18x = 16 + 19x Solving 81 + 18x = 16 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 81 + 18x + -19x = 16 + 19x + -19x Combine like terms: 18x + -19x = -1x 81 + -1x = 16 + 19x + -19x Combine like terms: 19x + -19x = 0 81 + -1x = 16 + 0 81 + -1x = 16 Add '-81' to each side of the equation. 81 + -81 + -1x = 16 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = 16 + -81 -1x = 16 + -81 Combine like terms: 16 + -81 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65
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