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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 = -46x 81 + -46x = (16 + 19x) Remove parenthesis around (16 + 19x) 81 + -46x = 16 + 19x Solving 81 + -46x = 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 + -46x + -19x = 16 + 19x + -19x Combine like terms: -46x + -19x = -65x 81 + -65x = 16 + 19x + -19x Combine like terms: 19x + -19x = 0 81 + -65x = 16 + 0 81 + -65x = 16 Add '-81' to each side of the equation. 81 + -81 + -65x = 16 + -81 Combine like terms: 81 + -81 = 0 0 + -65x = 16 + -81 -65x = 16 + -81 Combine like terms: 16 + -81 = -65 -65x = -65 Divide each side by '-65'. x = 1 Simplifying x = 1
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