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Simplifying 6(x + -3) = 45 + -3x Reorder the terms: 6(-3 + x) = 45 + -3x (-3 * 6 + x * 6) = 45 + -3x (-18 + 6x) = 45 + -3x Solving -18 + 6x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + 6x + 3x = 45 + -3x + 3x Combine like terms: 6x + 3x = 9x -18 + 9x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 9x = 45 + 0 -18 + 9x = 45 Add '18' to each side of the equation. -18 + 18 + 9x = 45 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 45 + 18 9x = 45 + 18 Combine like terms: 45 + 18 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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