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Simplifying 2x + 6 + -5x = 3(2x + -7) Reorder the terms: 6 + 2x + -5x = 3(2x + -7) Combine like terms: 2x + -5x = -3x 6 + -3x = 3(2x + -7) Reorder the terms: 6 + -3x = 3(-7 + 2x) 6 + -3x = (-7 * 3 + 2x * 3) 6 + -3x = (-21 + 6x) Solving 6 + -3x = -21 + 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. 6 + -3x + -6x = -21 + 6x + -6x Combine like terms: -3x + -6x = -9x 6 + -9x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -9x = -21 + 0 6 + -9x = -21 Add '-6' to each side of the equation. 6 + -6 + -9x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -21 + -6 -9x = -21 + -6 Combine like terms: -21 + -6 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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