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