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Simplifying 3[2x + -1(2x + 7)] = 5(x + -3) Reorder the terms: 3[2x + -1(7 + 2x)] = 5(x + -3) 3[2x + (7 * -1 + 2x * -1)] = 5(x + -3) 3[2x + (-7 + -2x)] = 5(x + -3) Reorder the terms: 3[-7 + 2x + -2x] = 5(x + -3) Combine like terms: 2x + -2x = 0 3[-7 + 0] = 5(x + -3) 3[-7] = 5(x + -3) Multiply 3 * -7 -21 = 5(x + -3) Reorder the terms: -21 = 5(-3 + x) -21 = (-3 * 5 + x * 5) -21 = (-15 + 5x) Solving -21 = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -5x = -15 + 0 -21 + -5x = -15 Add '21' to each side of the equation. -21 + 21 + -5x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = -15 + 21 -5x = -15 + 21 Combine like terms: -15 + 21 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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