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Simplifying 5(2x + -1) + -2(3x + 16) = 6x + -17 Reorder the terms: 5(-1 + 2x) + -2(3x + 16) = 6x + -17 (-1 * 5 + 2x * 5) + -2(3x + 16) = 6x + -17 (-5 + 10x) + -2(3x + 16) = 6x + -17 Reorder the terms: -5 + 10x + -2(16 + 3x) = 6x + -17 -5 + 10x + (16 * -2 + 3x * -2) = 6x + -17 -5 + 10x + (-32 + -6x) = 6x + -17 Reorder the terms: -5 + -32 + 10x + -6x = 6x + -17 Combine like terms: -5 + -32 = -37 -37 + 10x + -6x = 6x + -17 Combine like terms: 10x + -6x = 4x -37 + 4x = 6x + -17 Reorder the terms: -37 + 4x = -17 + 6x Solving -37 + 4x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -37 + 4x + -6x = -17 + 6x + -6x Combine like terms: 4x + -6x = -2x -37 + -2x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -37 + -2x = -17 + 0 -37 + -2x = -17 Add '37' to each side of the equation. -37 + 37 + -2x = -17 + 37 Combine like terms: -37 + 37 = 0 0 + -2x = -17 + 37 -2x = -17 + 37 Combine like terms: -17 + 37 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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