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Simplifying 3(x + 7) = 5(2x + -3) Reorder the terms: 3(7 + x) = 5(2x + -3) (7 * 3 + x * 3) = 5(2x + -3) (21 + 3x) = 5(2x + -3) Reorder the terms: 21 + 3x = 5(-3 + 2x) 21 + 3x = (-3 * 5 + 2x * 5) 21 + 3x = (-15 + 10x) Solving 21 + 3x = -15 + 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. 21 + 3x + -10x = -15 + 10x + -10x Combine like terms: 3x + -10x = -7x 21 + -7x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -7x = -15 + 0 21 + -7x = -15 Add '-21' to each side of the equation. 21 + -21 + -7x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = -15 + -21 -7x = -15 + -21 Combine like terms: -15 + -21 = -36 -7x = -36 Divide each side by '-7'. x = 5.142857143 Simplifying x = 5.142857143
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