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Simplifying 45 + -9x = 33 + 15x + -1(15 + -3x) 45 + -9x = 33 + 15x + (15 * -1 + -3x * -1) 45 + -9x = 33 + 15x + (-15 + 3x) Reorder the terms: 45 + -9x = 33 + -15 + 15x + 3x Combine like terms: 33 + -15 = 18 45 + -9x = 18 + 15x + 3x Combine like terms: 15x + 3x = 18x 45 + -9x = 18 + 18x Solving 45 + -9x = 18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 45 + -9x + -18x = 18 + 18x + -18x Combine like terms: -9x + -18x = -27x 45 + -27x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 45 + -27x = 18 + 0 45 + -27x = 18 Add '-45' to each side of the equation. 45 + -45 + -27x = 18 + -45 Combine like terms: 45 + -45 = 0 0 + -27x = 18 + -45 -27x = 18 + -45 Combine like terms: 18 + -45 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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