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Simplifying 8(x + -1) + 17(x + -3) = 4(4x + -9) + 4 Reorder the terms: 8(-1 + x) + 17(x + -3) = 4(4x + -9) + 4 (-1 * 8 + x * 8) + 17(x + -3) = 4(4x + -9) + 4 (-8 + 8x) + 17(x + -3) = 4(4x + -9) + 4 Reorder the terms: -8 + 8x + 17(-3 + x) = 4(4x + -9) + 4 -8 + 8x + (-3 * 17 + x * 17) = 4(4x + -9) + 4 -8 + 8x + (-51 + 17x) = 4(4x + -9) + 4 Reorder the terms: -8 + -51 + 8x + 17x = 4(4x + -9) + 4 Combine like terms: -8 + -51 = -59 -59 + 8x + 17x = 4(4x + -9) + 4 Combine like terms: 8x + 17x = 25x -59 + 25x = 4(4x + -9) + 4 Reorder the terms: -59 + 25x = 4(-9 + 4x) + 4 -59 + 25x = (-9 * 4 + 4x * 4) + 4 -59 + 25x = (-36 + 16x) + 4 Reorder the terms: -59 + 25x = -36 + 4 + 16x Combine like terms: -36 + 4 = -32 -59 + 25x = -32 + 16x Solving -59 + 25x = -32 + 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. -59 + 25x + -16x = -32 + 16x + -16x Combine like terms: 25x + -16x = 9x -59 + 9x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 -59 + 9x = -32 + 0 -59 + 9x = -32 Add '59' to each side of the equation. -59 + 59 + 9x = -32 + 59 Combine like terms: -59 + 59 = 0 0 + 9x = -32 + 59 9x = -32 + 59 Combine like terms: -32 + 59 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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