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Simplifying 5(2x + -12) + 18x = 45 + 7x Reorder the terms: 5(-12 + 2x) + 18x = 45 + 7x (-12 * 5 + 2x * 5) + 18x = 45 + 7x (-60 + 10x) + 18x = 45 + 7x Combine like terms: 10x + 18x = 28x -60 + 28x = 45 + 7x Solving -60 + 28x = 45 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -60 + 28x + -7x = 45 + 7x + -7x Combine like terms: 28x + -7x = 21x -60 + 21x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 -60 + 21x = 45 + 0 -60 + 21x = 45 Add '60' to each side of the equation. -60 + 60 + 21x = 45 + 60 Combine like terms: -60 + 60 = 0 0 + 21x = 45 + 60 21x = 45 + 60 Combine like terms: 45 + 60 = 105 21x = 105 Divide each side by '21'. x = 5 Simplifying x = 5
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