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Simplifying 3x + 2x + -4x + 4 + -15 = 2x + 6 + -10 Reorder the terms: 4 + -15 + 3x + 2x + -4x = 2x + 6 + -10 Combine like terms: 4 + -15 = -11 -11 + 3x + 2x + -4x = 2x + 6 + -10 Combine like terms: 3x + 2x = 5x -11 + 5x + -4x = 2x + 6 + -10 Combine like terms: 5x + -4x = 1x -11 + 1x = 2x + 6 + -10 Reorder the terms: -11 + 1x = 6 + -10 + 2x Combine like terms: 6 + -10 = -4 -11 + 1x = -4 + 2x Solving -11 + 1x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -11 + 1x + -2x = -4 + 2x + -2x Combine like terms: 1x + -2x = -1x -11 + -1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -1x = -4 + 0 -11 + -1x = -4 Add '11' to each side of the equation. -11 + 11 + -1x = -4 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = -4 + 11 -1x = -4 + 11 Combine like terms: -4 + 11 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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