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Simplifying 7x + 1 = 15x + 33 Reorder the terms: 1 + 7x = 15x + 33 Reorder the terms: 1 + 7x = 33 + 15x Solving 1 + 7x = 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. 1 + 7x + -15x = 33 + 15x + -15x Combine like terms: 7x + -15x = -8x 1 + -8x = 33 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -8x = 33 + 0 1 + -8x = 33 Add '-1' to each side of the equation. 1 + -1 + -8x = 33 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 33 + -1 -8x = 33 + -1 Combine like terms: 33 + -1 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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