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Simplifying 89 = 7x + 2(4x + -8) Reorder the terms: 89 = 7x + 2(-8 + 4x) 89 = 7x + (-8 * 2 + 4x * 2) 89 = 7x + (-16 + 8x) Reorder the terms: 89 = -16 + 7x + 8x Combine like terms: 7x + 8x = 15x 89 = -16 + 15x Solving 89 = -16 + 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. 89 + -15x = -16 + 15x + -15x Combine like terms: 15x + -15x = 0 89 + -15x = -16 + 0 89 + -15x = -16 Add '-89' to each side of the equation. 89 + -89 + -15x = -16 + -89 Combine like terms: 89 + -89 = 0 0 + -15x = -16 + -89 -15x = -16 + -89 Combine like terms: -16 + -89 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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