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Simplifying 15x + -45 = 3(2x + -6) Reorder the terms: -45 + 15x = 3(2x + -6) Reorder the terms: -45 + 15x = 3(-6 + 2x) -45 + 15x = (-6 * 3 + 2x * 3) -45 + 15x = (-18 + 6x) Solving -45 + 15x = -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 + 15x + -6x = -18 + 6x + -6x Combine like terms: 15x + -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 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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