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Simplifying 4x + -6 + 10 = 3x + 15 Reorder the terms: -6 + 10 + 4x = 3x + 15 Combine like terms: -6 + 10 = 4 4 + 4x = 3x + 15 Reorder the terms: 4 + 4x = 15 + 3x Solving 4 + 4x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 4x + -3x = 15 + 3x + -3x Combine like terms: 4x + -3x = 1x 4 + 1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 1x = 15 + 0 4 + 1x = 15 Add '-4' to each side of the equation. 4 + -4 + 1x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 15 + -4 1x = 15 + -4 Combine like terms: 15 + -4 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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