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Simplifying 3x + 9 + -7x = 2(x + -6) Reorder the terms: 9 + 3x + -7x = 2(x + -6) Combine like terms: 3x + -7x = -4x 9 + -4x = 2(x + -6) Reorder the terms: 9 + -4x = 2(-6 + x) 9 + -4x = (-6 * 2 + x * 2) 9 + -4x = (-12 + 2x) Solving 9 + -4x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + -4x + -2x = -12 + 2x + -2x Combine like terms: -4x + -2x = -6x 9 + -6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -6x = -12 + 0 9 + -6x = -12 Add '-9' to each side of the equation. 9 + -9 + -6x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -12 + -9 -6x = -12 + -9 Combine like terms: -12 + -9 = -21 -6x = -21 Divide each side by '-6'. x = 3.5 Simplifying x = 3.5
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