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Simplifying 17x + -2 = 4(4x + 3) + -10 Reorder the terms: -2 + 17x = 4(4x + 3) + -10 Reorder the terms: -2 + 17x = 4(3 + 4x) + -10 -2 + 17x = (3 * 4 + 4x * 4) + -10 -2 + 17x = (12 + 16x) + -10 Reorder the terms: -2 + 17x = 12 + -10 + 16x Combine like terms: 12 + -10 = 2 -2 + 17x = 2 + 16x Solving -2 + 17x = 2 + 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. -2 + 17x + -16x = 2 + 16x + -16x Combine like terms: 17x + -16x = 1x -2 + 1x = 2 + 16x + -16x Combine like terms: 16x + -16x = 0 -2 + 1x = 2 + 0 -2 + 1x = 2 Add '2' to each side of the equation. -2 + 2 + 1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 2 + 2 1x = 2 + 2 Combine like terms: 2 + 2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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