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Simplifying 10x + (-5) = 6x + -1(-37) 10x + -5 = 6x + -1(-37) Reorder the terms: -5 + 10x = 6x + -1(-37) Multiply -1 * -37 -5 + 10x = 6x + 37 Reorder the terms: -5 + 10x = 37 + 6x Solving -5 + 10x = 37 + 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. -5 + 10x + -6x = 37 + 6x + -6x Combine like terms: 10x + -6x = 4x -5 + 4x = 37 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 4x = 37 + 0 -5 + 4x = 37 Add '5' to each side of the equation. -5 + 5 + 4x = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 37 + 5 4x = 37 + 5 Combine like terms: 37 + 5 = 42 4x = 42 Divide each side by '4'. x = 10.5 Simplifying x = 10.5
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