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Simplifying 8(2x + -1) + -17(3 + -1x) = 16(-3x + -2) Reorder the terms: 8(-1 + 2x) + -17(3 + -1x) = 16(-3x + -2) (-1 * 8 + 2x * 8) + -17(3 + -1x) = 16(-3x + -2) (-8 + 16x) + -17(3 + -1x) = 16(-3x + -2) -8 + 16x + (3 * -17 + -1x * -17) = 16(-3x + -2) -8 + 16x + (-51 + 17x) = 16(-3x + -2) Reorder the terms: -8 + -51 + 16x + 17x = 16(-3x + -2) Combine like terms: -8 + -51 = -59 -59 + 16x + 17x = 16(-3x + -2) Combine like terms: 16x + 17x = 33x -59 + 33x = 16(-3x + -2) Reorder the terms: -59 + 33x = 16(-2 + -3x) -59 + 33x = (-2 * 16 + -3x * 16) -59 + 33x = (-32 + -48x) Solving -59 + 33x = -32 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -59 + 33x + 48x = -32 + -48x + 48x Combine like terms: 33x + 48x = 81x -59 + 81x = -32 + -48x + 48x Combine like terms: -48x + 48x = 0 -59 + 81x = -32 + 0 -59 + 81x = -32 Add '59' to each side of the equation. -59 + 59 + 81x = -32 + 59 Combine like terms: -59 + 59 = 0 0 + 81x = -32 + 59 81x = -32 + 59 Combine like terms: -32 + 59 = 27 81x = 27 Divide each side by '81'. x = 0.3333333333 Simplifying x = 0.3333333333
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