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