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Simplifying -42 = 3x + -3(6x + -11) Reorder the terms: -42 = 3x + -3(-11 + 6x) -42 = 3x + (-11 * -3 + 6x * -3) -42 = 3x + (33 + -18x) Reorder the terms: -42 = 33 + 3x + -18x Combine like terms: 3x + -18x = -15x -42 = 33 + -15x Solving -42 = 33 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -42 + 15x = 33 + -15x + 15x Combine like terms: -15x + 15x = 0 -42 + 15x = 33 + 0 -42 + 15x = 33 Add '42' to each side of the equation. -42 + 42 + 15x = 33 + 42 Combine like terms: -42 + 42 = 0 0 + 15x = 33 + 42 15x = 33 + 42 Combine like terms: 33 + 42 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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