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Simplifying 6x + -2x + 10 + 15 = 3x + -2x + 40 + 15 Reorder the terms: 10 + 15 + 6x + -2x = 3x + -2x + 40 + 15 Combine like terms: 10 + 15 = 25 25 + 6x + -2x = 3x + -2x + 40 + 15 Combine like terms: 6x + -2x = 4x 25 + 4x = 3x + -2x + 40 + 15 Reorder the terms: 25 + 4x = 40 + 15 + 3x + -2x Combine like terms: 40 + 15 = 55 25 + 4x = 55 + 3x + -2x Combine like terms: 3x + -2x = 1x 25 + 4x = 55 + 1x Solving 25 + 4x = 55 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 25 + 4x + -1x = 55 + 1x + -1x Combine like terms: 4x + -1x = 3x 25 + 3x = 55 + 1x + -1x Combine like terms: 1x + -1x = 0 25 + 3x = 55 + 0 25 + 3x = 55 Add '-25' to each side of the equation. 25 + -25 + 3x = 55 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 55 + -25 3x = 55 + -25 Combine like terms: 55 + -25 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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