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Simplifying 3(x + 15) + -6x = 6(x + -3) Reorder the terms: 3(15 + x) + -6x = 6(x + -3) (15 * 3 + x * 3) + -6x = 6(x + -3) (45 + 3x) + -6x = 6(x + -3) Combine like terms: 3x + -6x = -3x 45 + -3x = 6(x + -3) Reorder the terms: 45 + -3x = 6(-3 + x) 45 + -3x = (-3 * 6 + x * 6) 45 + -3x = (-18 + 6x) Solving 45 + -3x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + -3x + -6x = -18 + 6x + -6x Combine like terms: -3x + -6x = -9x 45 + -9x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -9x = -18 + 0 45 + -9x = -18 Add '-45' to each side of the equation. 45 + -45 + -9x = -18 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = -18 + -45 -9x = -18 + -45 Combine like terms: -18 + -45 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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