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Simplifying 3(6x + -7) = 7x + 45 + 8x Reorder the terms: 3(-7 + 6x) = 7x + 45 + 8x (-7 * 3 + 6x * 3) = 7x + 45 + 8x (-21 + 18x) = 7x + 45 + 8x Reorder the terms: -21 + 18x = 45 + 7x + 8x Combine like terms: 7x + 8x = 15x -21 + 18x = 45 + 15x Solving -21 + 18x = 45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + 18x + -15x = 45 + 15x + -15x Combine like terms: 18x + -15x = 3x -21 + 3x = 45 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + 3x = 45 + 0 -21 + 3x = 45 Add '21' to each side of the equation. -21 + 21 + 3x = 45 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 45 + 21 3x = 45 + 21 Combine like terms: 45 + 21 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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