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Simplifying 3x + -5 = 10x + -47 Reorder the terms: -5 + 3x = 10x + -47 Reorder the terms: -5 + 3x = -47 + 10x Solving -5 + 3x = -47 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 3x + -10x = -47 + 10x + -10x Combine like terms: 3x + -10x = -7x -5 + -7x = -47 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -7x = -47 + 0 -5 + -7x = -47 Add '5' to each side of the equation. -5 + 5 + -7x = -47 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -47 + 5 -7x = -47 + 5 Combine like terms: -47 + 5 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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