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Simplifying 3(x + 2) = 5(2x + -3) + -7 Reorder the terms: 3(2 + x) = 5(2x + -3) + -7 (2 * 3 + x * 3) = 5(2x + -3) + -7 (6 + 3x) = 5(2x + -3) + -7 Reorder the terms: 6 + 3x = 5(-3 + 2x) + -7 6 + 3x = (-3 * 5 + 2x * 5) + -7 6 + 3x = (-15 + 10x) + -7 Reorder the terms: 6 + 3x = -15 + -7 + 10x Combine like terms: -15 + -7 = -22 6 + 3x = -22 + 10x Solving 6 + 3x = -22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 3x + -10x = -22 + 10x + -10x Combine like terms: 3x + -10x = -7x 6 + -7x = -22 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -7x = -22 + 0 6 + -7x = -22 Add '-6' to each side of the equation. 6 + -6 + -7x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -22 + -6 -7x = -22 + -6 Combine like terms: -22 + -6 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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