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Simplifying -10x + 2(x + -5) + 6x = 3x + -15 Reorder the terms: -10x + 2(-5 + x) + 6x = 3x + -15 -10x + (-5 * 2 + x * 2) + 6x = 3x + -15 -10x + (-10 + 2x) + 6x = 3x + -15 Reorder the terms: -10 + -10x + 2x + 6x = 3x + -15 Combine like terms: -10x + 2x = -8x -10 + -8x + 6x = 3x + -15 Combine like terms: -8x + 6x = -2x -10 + -2x = 3x + -15 Reorder the terms: -10 + -2x = -15 + 3x Solving -10 + -2x = -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. -10 + -2x + -3x = -15 + 3x + -3x Combine like terms: -2x + -3x = -5x -10 + -5x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -5x = -15 + 0 -10 + -5x = -15 Add '10' to each side of the equation. -10 + 10 + -5x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = -15 + 10 -5x = -15 + 10 Combine like terms: -15 + 10 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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