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Simplifying 5x + -7x + 9 = x + 3(2x + -6) Reorder the terms: 9 + 5x + -7x = x + 3(2x + -6) Combine like terms: 5x + -7x = -2x 9 + -2x = x + 3(2x + -6) Reorder the terms: 9 + -2x = x + 3(-6 + 2x) 9 + -2x = x + (-6 * 3 + 2x * 3) 9 + -2x = x + (-18 + 6x) Reorder the terms: 9 + -2x = -18 + x + 6x Combine like terms: x + 6x = 7x 9 + -2x = -18 + 7x Solving 9 + -2x = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + -2x + -7x = -18 + 7x + -7x Combine like terms: -2x + -7x = -9x 9 + -9x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -9x = -18 + 0 9 + -9x = -18 Add '-9' to each side of the equation. 9 + -9 + -9x = -18 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = -18 + -9 -9x = -18 + -9 Combine like terms: -18 + -9 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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