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Simplifying 4x + 6 + -2x = 9(x + 3) Reorder the terms: 6 + 4x + -2x = 9(x + 3) Combine like terms: 4x + -2x = 2x 6 + 2x = 9(x + 3) Reorder the terms: 6 + 2x = 9(3 + x) 6 + 2x = (3 * 9 + x * 9) 6 + 2x = (27 + 9x) Solving 6 + 2x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 2x + -9x = 27 + 9x + -9x Combine like terms: 2x + -9x = -7x 6 + -7x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -7x = 27 + 0 6 + -7x = 27 Add '-6' to each side of the equation. 6 + -6 + -7x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 27 + -6 -7x = 27 + -6 Combine like terms: 27 + -6 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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