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Simplifying 17x + -7 = 4(4x + 5) + -13 Reorder the terms: -7 + 17x = 4(4x + 5) + -13 Reorder the terms: -7 + 17x = 4(5 + 4x) + -13 -7 + 17x = (5 * 4 + 4x * 4) + -13 -7 + 17x = (20 + 16x) + -13 Reorder the terms: -7 + 17x = 20 + -13 + 16x Combine like terms: 20 + -13 = 7 -7 + 17x = 7 + 16x Solving -7 + 17x = 7 + 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. -7 + 17x + -16x = 7 + 16x + -16x Combine like terms: 17x + -16x = 1x -7 + 1x = 7 + 16x + -16x Combine like terms: 16x + -16x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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