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Simplifying x + -1(17x + 32) = 4 + -1(17x + 32) Reorder the terms: x + -1(32 + 17x) = 4 + -1(17x + 32) x + (32 * -1 + 17x * -1) = 4 + -1(17x + 32) x + (-32 + -17x) = 4 + -1(17x + 32) Reorder the terms: -32 + x + -17x = 4 + -1(17x + 32) Combine like terms: x + -17x = -16x -32 + -16x = 4 + -1(17x + 32) Reorder the terms: -32 + -16x = 4 + -1(32 + 17x) -32 + -16x = 4 + (32 * -1 + 17x * -1) -32 + -16x = 4 + (-32 + -17x) Combine like terms: 4 + -32 = -28 -32 + -16x = -28 + -17x Solving -32 + -16x = -28 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -32 + -16x + 17x = -28 + -17x + 17x Combine like terms: -16x + 17x = 1x -32 + 1x = -28 + -17x + 17x Combine like terms: -17x + 17x = 0 -32 + 1x = -28 + 0 -32 + 1x = -28 Add '32' to each side of the equation. -32 + 32 + 1x = -28 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -28 + 32 1x = -28 + 32 Combine like terms: -28 + 32 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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