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Simplifying -42 = -3(6 + -8x) + -3(3x + 3) -42 = (6 * -3 + -8x * -3) + -3(3x + 3) -42 = (-18 + 24x) + -3(3x + 3) Reorder the terms: -42 = -18 + 24x + -3(3 + 3x) -42 = -18 + 24x + (3 * -3 + 3x * -3) -42 = -18 + 24x + (-9 + -9x) Reorder the terms: -42 = -18 + -9 + 24x + -9x Combine like terms: -18 + -9 = -27 -42 = -27 + 24x + -9x Combine like terms: 24x + -9x = 15x -42 = -27 + 15x Solving -42 = -27 + 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 = -27 + 15x + -15x Combine like terms: 15x + -15x = 0 -42 + -15x = -27 + 0 -42 + -15x = -27 Add '42' to each side of the equation. -42 + 42 + -15x = -27 + 42 Combine like terms: -42 + 42 = 0 0 + -15x = -27 + 42 -15x = -27 + 42 Combine like terms: -27 + 42 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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