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Simplifying 32(x + -3) + 168 = 53(x + -3) Reorder the terms: 32(-3 + x) + 168 = 53(x + -3) (-3 * 32 + x * 32) + 168 = 53(x + -3) (-96 + 32x) + 168 = 53(x + -3) Reorder the terms: -96 + 168 + 32x = 53(x + -3) Combine like terms: -96 + 168 = 72 72 + 32x = 53(x + -3) Reorder the terms: 72 + 32x = 53(-3 + x) 72 + 32x = (-3 * 53 + x * 53) 72 + 32x = (-159 + 53x) Solving 72 + 32x = -159 + 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. 72 + 32x + -53x = -159 + 53x + -53x Combine like terms: 32x + -53x = -21x 72 + -21x = -159 + 53x + -53x Combine like terms: 53x + -53x = 0 72 + -21x = -159 + 0 72 + -21x = -159 Add '-72' to each side of the equation. 72 + -72 + -21x = -159 + -72 Combine like terms: 72 + -72 = 0 0 + -21x = -159 + -72 -21x = -159 + -72 Combine like terms: -159 + -72 = -231 -21x = -231 Divide each side by '-21'. x = 11 Simplifying x = 11
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