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Simplifying -8(x + 6) = 7x + -33 Reorder the terms: -8(6 + x) = 7x + -33 (6 * -8 + x * -8) = 7x + -33 (-48 + -8x) = 7x + -33 Reorder the terms: -48 + -8x = -33 + 7x Solving -48 + -8x = -33 + 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. -48 + -8x + -7x = -33 + 7x + -7x Combine like terms: -8x + -7x = -15x -48 + -15x = -33 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + -15x = -33 + 0 -48 + -15x = -33 Add '48' to each side of the equation. -48 + 48 + -15x = -33 + 48 Combine like terms: -48 + 48 = 0 0 + -15x = -33 + 48 -15x = -33 + 48 Combine like terms: -33 + 48 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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