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Simplifying 2(4x) + 17 = 2(5x + -4) Remove parenthesis around (4x) 2 * 4x + 17 = 2(5x + -4) Multiply 2 * 4 8x + 17 = 2(5x + -4) Reorder the terms: 17 + 8x = 2(5x + -4) Reorder the terms: 17 + 8x = 2(-4 + 5x) 17 + 8x = (-4 * 2 + 5x * 2) 17 + 8x = (-8 + 10x) Solving 17 + 8x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 17 + 8x + -10x = -8 + 10x + -10x Combine like terms: 8x + -10x = -2x 17 + -2x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 17 + -2x = -8 + 0 17 + -2x = -8 Add '-17' to each side of the equation. 17 + -17 + -2x = -8 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -8 + -17 -2x = -8 + -17 Combine like terms: -8 + -17 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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