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Simplifying 3x + 7(x + 6) + -45 = 9x + 3 Reorder the terms: 3x + 7(6 + x) + -45 = 9x + 3 3x + (6 * 7 + x * 7) + -45 = 9x + 3 3x + (42 + 7x) + -45 = 9x + 3 Reorder the terms: 42 + -45 + 3x + 7x = 9x + 3 Combine like terms: 42 + -45 = -3 -3 + 3x + 7x = 9x + 3 Combine like terms: 3x + 7x = 10x -3 + 10x = 9x + 3 Reorder the terms: -3 + 10x = 3 + 9x Solving -3 + 10x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x -3 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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