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Simplifying 4(53 + -1x) = 28(x + 3) (53 * 4 + -1x * 4) = 28(x + 3) (212 + -4x) = 28(x + 3) Reorder the terms: 212 + -4x = 28(3 + x) 212 + -4x = (3 * 28 + x * 28) 212 + -4x = (84 + 28x) Solving 212 + -4x = 84 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 212 + -4x + -28x = 84 + 28x + -28x Combine like terms: -4x + -28x = -32x 212 + -32x = 84 + 28x + -28x Combine like terms: 28x + -28x = 0 212 + -32x = 84 + 0 212 + -32x = 84 Add '-212' to each side of the equation. 212 + -212 + -32x = 84 + -212 Combine like terms: 212 + -212 = 0 0 + -32x = 84 + -212 -32x = 84 + -212 Combine like terms: 84 + -212 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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