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Simplifying 3x + -2x + 10 = 10 + 5x + -40 Reorder the terms: 10 + 3x + -2x = 10 + 5x + -40 Combine like terms: 3x + -2x = 1x 10 + 1x = 10 + 5x + -40 Reorder the terms: 10 + 1x = 10 + -40 + 5x Combine like terms: 10 + -40 = -30 10 + 1x = -30 + 5x Solving 10 + 1x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 1x + -5x = -30 + 5x + -5x Combine like terms: 1x + -5x = -4x 10 + -4x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -4x = -30 + 0 10 + -4x = -30 Add '-10' to each side of the equation. 10 + -10 + -4x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -30 + -10 -4x = -30 + -10 Combine like terms: -30 + -10 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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