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Simplifying 16(x + -2) + -6 = 2(9x + -1) Reorder the terms: 16(-2 + x) + -6 = 2(9x + -1) (-2 * 16 + x * 16) + -6 = 2(9x + -1) (-32 + 16x) + -6 = 2(9x + -1) Reorder the terms: -32 + -6 + 16x = 2(9x + -1) Combine like terms: -32 + -6 = -38 -38 + 16x = 2(9x + -1) Reorder the terms: -38 + 16x = 2(-1 + 9x) -38 + 16x = (-1 * 2 + 9x * 2) -38 + 16x = (-2 + 18x) Solving -38 + 16x = -2 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -38 + 16x + -18x = -2 + 18x + -18x Combine like terms: 16x + -18x = -2x -38 + -2x = -2 + 18x + -18x Combine like terms: 18x + -18x = 0 -38 + -2x = -2 + 0 -38 + -2x = -2 Add '38' to each side of the equation. -38 + 38 + -2x = -2 + 38 Combine like terms: -38 + 38 = 0 0 + -2x = -2 + 38 -2x = -2 + 38 Combine like terms: -2 + 38 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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