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Simplifying 2(4x + 4) + 3(2x + 7) + -10x + -4 = 0 Reorder the terms: 2(4 + 4x) + 3(2x + 7) + -10x + -4 = 0 (4 * 2 + 4x * 2) + 3(2x + 7) + -10x + -4 = 0 (8 + 8x) + 3(2x + 7) + -10x + -4 = 0 Reorder the terms: 8 + 8x + 3(7 + 2x) + -10x + -4 = 0 8 + 8x + (7 * 3 + 2x * 3) + -10x + -4 = 0 8 + 8x + (21 + 6x) + -10x + -4 = 0 Reorder the terms: 8 + 21 + -4 + 8x + 6x + -10x = 0 Combine like terms: 8 + 21 = 29 29 + -4 + 8x + 6x + -10x = 0 Combine like terms: 29 + -4 = 25 25 + 8x + 6x + -10x = 0 Combine like terms: 8x + 6x = 14x 25 + 14x + -10x = 0 Combine like terms: 14x + -10x = 4x 25 + 4x = 0 Solving 25 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 0 + -25 4x = 0 + -25 Combine like terms: 0 + -25 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25
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