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Simplifying 17x + 10 = 4(4x + 7) Reorder the terms: 10 + 17x = 4(4x + 7) Reorder the terms: 10 + 17x = 4(7 + 4x) 10 + 17x = (7 * 4 + 4x * 4) 10 + 17x = (28 + 16x) Solving 10 + 17x = 28 + 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 = 28 + 16x + -16x Combine like terms: 17x + -16x = 1x 10 + 1x = 28 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + 1x = 28 + 0 10 + 1x = 28 Add '-10' to each side of the equation. 10 + -10 + 1x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 28 + -10 1x = 28 + -10 Combine like terms: 28 + -10 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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