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Simplifying 3[2 + -5(x + 3)] = -7x + -135 Reorder the terms: 3[2 + -5(3 + x)] = -7x + -135 3[2 + (3 * -5 + x * -5)] = -7x + -135 3[2 + (-15 + -5x)] = -7x + -135 Combine like terms: 2 + -15 = -13 3[-13 + -5x] = -7x + -135 [-13 * 3 + -5x * 3] = -7x + -135 [-39 + -15x] = -7x + -135 Reorder the terms: -39 + -15x = -135 + -7x Solving -39 + -15x = -135 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -39 + -15x + 7x = -135 + -7x + 7x Combine like terms: -15x + 7x = -8x -39 + -8x = -135 + -7x + 7x Combine like terms: -7x + 7x = 0 -39 + -8x = -135 + 0 -39 + -8x = -135 Add '39' to each side of the equation. -39 + 39 + -8x = -135 + 39 Combine like terms: -39 + 39 = 0 0 + -8x = -135 + 39 -8x = -135 + 39 Combine like terms: -135 + 39 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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