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Simplifying 7x + 42 = -8(x + 6) Reorder the terms: 42 + 7x = -8(x + 6) Reorder the terms: 42 + 7x = -8(6 + x) 42 + 7x = (6 * -8 + x * -8) 42 + 7x = (-48 + -8x) Solving 42 + 7x = -48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 42 + 7x + 8x = -48 + -8x + 8x Combine like terms: 7x + 8x = 15x 42 + 15x = -48 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 15x = -48 + 0 42 + 15x = -48 Add '-42' to each side of the equation. 42 + -42 + 15x = -48 + -42 Combine like terms: 42 + -42 = 0 0 + 15x = -48 + -42 15x = -48 + -42 Combine like terms: -48 + -42 = -90 15x = -90 Divide each side by '15'. x = -6 Simplifying x = -6
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