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Simplifying 5x + (48 + 7) = 12(x + 4) Combine like terms: 48 + 7 = 55 5x + (55) = 12(x + 4) 5x + 55 = 12(x + 4) Reorder the terms: 55 + 5x = 12(x + 4) Reorder the terms: 55 + 5x = 12(4 + x) 55 + 5x = (4 * 12 + x * 12) 55 + 5x = (48 + 12x) Solving 55 + 5x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 55 + 5x + -12x = 48 + 12x + -12x Combine like terms: 5x + -12x = -7x 55 + -7x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 55 + -7x = 48 + 0 55 + -7x = 48 Add '-55' to each side of the equation. 55 + -55 + -7x = 48 + -55 Combine like terms: 55 + -55 = 0 0 + -7x = 48 + -55 -7x = 48 + -55 Combine like terms: 48 + -55 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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