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Simplifying 3(3x + -1) = 16(x + -2) Reorder the terms: 3(-1 + 3x) = 16(x + -2) (-1 * 3 + 3x * 3) = 16(x + -2) (-3 + 9x) = 16(x + -2) Reorder the terms: -3 + 9x = 16(-2 + x) -3 + 9x = (-2 * 16 + x * 16) -3 + 9x = (-32 + 16x) Solving -3 + 9x = -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. -3 + 9x + -16x = -32 + 16x + -16x Combine like terms: 9x + -16x = -7x -3 + -7x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 -3 + -7x = -32 + 0 -3 + -7x = -32 Add '3' to each side of the equation. -3 + 3 + -7x = -32 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -32 + 3 -7x = -32 + 3 Combine like terms: -32 + 3 = -29 -7x = -29 Divide each side by '-7'. x = 4.142857143 Simplifying x = 4.142857143
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