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Simplifying 17x + -15 = 4(4x + 5) + -5 Reorder the terms: -15 + 17x = 4(4x + 5) + -5 Reorder the terms: -15 + 17x = 4(5 + 4x) + -5 -15 + 17x = (5 * 4 + 4x * 4) + -5 -15 + 17x = (20 + 16x) + -5 Reorder the terms: -15 + 17x = 20 + -5 + 16x Combine like terms: 20 + -5 = 15 -15 + 17x = 15 + 16x Solving -15 + 17x = 15 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -15 + 17x + -16x = 15 + 16x + -16x Combine like terms: 17x + -16x = 1x -15 + 1x = 15 + 16x + -16x Combine like terms: 16x + -16x = 0 -15 + 1x = 15 + 0 -15 + 1x = 15 Add '15' to each side of the equation. -15 + 15 + 1x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 15 + 15 1x = 15 + 15 Combine like terms: 15 + 15 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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