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Simplifying 5x + -3(x + -6) = 45 + -1x Reorder the terms: 5x + -3(-6 + x) = 45 + -1x 5x + (-6 * -3 + x * -3) = 45 + -1x 5x + (18 + -3x) = 45 + -1x Reorder the terms: 18 + 5x + -3x = 45 + -1x Combine like terms: 5x + -3x = 2x 18 + 2x = 45 + -1x Solving 18 + 2x = 45 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 18 + 2x + x = 45 + -1x + x Combine like terms: 2x + x = 3x 18 + 3x = 45 + -1x + x Combine like terms: -1x + x = 0 18 + 3x = 45 + 0 18 + 3x = 45 Add '-18' to each side of the equation. 18 + -18 + 3x = 45 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 45 + -18 3x = 45 + -18 Combine like terms: 45 + -18 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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