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Simplifying 17x + -10 = 4(4x + 5) + -10 Reorder the terms: -10 + 17x = 4(4x + 5) + -10 Reorder the terms: -10 + 17x = 4(5 + 4x) + -10 -10 + 17x = (5 * 4 + 4x * 4) + -10 -10 + 17x = (20 + 16x) + -10 Reorder the terms: -10 + 17x = 20 + -10 + 16x Combine like terms: 20 + -10 = 10 -10 + 17x = 10 + 16x Solving -10 + 17x = 10 + 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. -10 + 17x + -16x = 10 + 16x + -16x Combine like terms: 17x + -16x = 1x -10 + 1x = 10 + 16x + -16x Combine like terms: 16x + -16x = 0 -10 + 1x = 10 + 0 -10 + 1x = 10 Add '10' to each side of the equation. -10 + 10 + 1x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 10 + 10 1x = 10 + 10 Combine like terms: 10 + 10 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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