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Simplifying 2(3x + 5) + -7 = 3(4x + -3) Reorder the terms: 2(5 + 3x) + -7 = 3(4x + -3) (5 * 2 + 3x * 2) + -7 = 3(4x + -3) (10 + 6x) + -7 = 3(4x + -3) Reorder the terms: 10 + -7 + 6x = 3(4x + -3) Combine like terms: 10 + -7 = 3 3 + 6x = 3(4x + -3) Reorder the terms: 3 + 6x = 3(-3 + 4x) 3 + 6x = (-3 * 3 + 4x * 3) 3 + 6x = (-9 + 12x) Solving 3 + 6x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 6x + -12x = -9 + 12x + -12x Combine like terms: 6x + -12x = -6x 3 + -6x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -6x = -9 + 0 3 + -6x = -9 Add '-3' to each side of the equation. 3 + -3 + -6x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -9 + -3 -6x = -9 + -3 Combine like terms: -9 + -3 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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