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Simplifying 7x + 2 = 15(x + -2) Reorder the terms: 2 + 7x = 15(x + -2) Reorder the terms: 2 + 7x = 15(-2 + x) 2 + 7x = (-2 * 15 + x * 15) 2 + 7x = (-30 + 15x) Solving 2 + 7x = -30 + 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. 2 + 7x + -15x = -30 + 15x + -15x Combine like terms: 7x + -15x = -8x 2 + -8x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -8x = -30 + 0 2 + -8x = -30 Add '-2' to each side of the equation. 2 + -2 + -8x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -30 + -2 -8x = -30 + -2 Combine like terms: -30 + -2 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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