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Simplifying 7x + 45 = 4(x + 6) Reorder the terms: 45 + 7x = 4(x + 6) Reorder the terms: 45 + 7x = 4(6 + x) 45 + 7x = (6 * 4 + x * 4) 45 + 7x = (24 + 4x) Solving 45 + 7x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + 7x + -4x = 24 + 4x + -4x Combine like terms: 7x + -4x = 3x 45 + 3x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + 3x = 24 + 0 45 + 3x = 24 Add '-45' to each side of the equation. 45 + -45 + 3x = 24 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = 24 + -45 3x = 24 + -45 Combine like terms: 24 + -45 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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