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Simplifying -14 = 8(4x + -4) + 7(3x + -5) Reorder the terms: -14 = 8(-4 + 4x) + 7(3x + -5) -14 = (-4 * 8 + 4x * 8) + 7(3x + -5) -14 = (-32 + 32x) + 7(3x + -5) Reorder the terms: -14 = -32 + 32x + 7(-5 + 3x) -14 = -32 + 32x + (-5 * 7 + 3x * 7) -14 = -32 + 32x + (-35 + 21x) Reorder the terms: -14 = -32 + -35 + 32x + 21x Combine like terms: -32 + -35 = -67 -14 = -67 + 32x + 21x Combine like terms: 32x + 21x = 53x -14 = -67 + 53x Solving -14 = -67 + 53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53x' to each side of the equation. -14 + -53x = -67 + 53x + -53x Combine like terms: 53x + -53x = 0 -14 + -53x = -67 + 0 -14 + -53x = -67 Add '14' to each side of the equation. -14 + 14 + -53x = -67 + 14 Combine like terms: -14 + 14 = 0 0 + -53x = -67 + 14 -53x = -67 + 14 Combine like terms: -67 + 14 = -53 -53x = -53 Divide each side by '-53'. x = 1 Simplifying x = 1
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