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Simplifying -1x + 6(x + -5) = 3x + 5(2x + -6) Reorder the terms: -1x + 6(-5 + x) = 3x + 5(2x + -6) -1x + (-5 * 6 + x * 6) = 3x + 5(2x + -6) -1x + (-30 + 6x) = 3x + 5(2x + -6) Reorder the terms: -30 + -1x + 6x = 3x + 5(2x + -6) Combine like terms: -1x + 6x = 5x -30 + 5x = 3x + 5(2x + -6) Reorder the terms: -30 + 5x = 3x + 5(-6 + 2x) -30 + 5x = 3x + (-6 * 5 + 2x * 5) -30 + 5x = 3x + (-30 + 10x) Reorder the terms: -30 + 5x = -30 + 3x + 10x Combine like terms: 3x + 10x = 13x -30 + 5x = -30 + 13x Add '30' to each side of the equation. -30 + 30 + 5x = -30 + 30 + 13x Combine like terms: -30 + 30 = 0 0 + 5x = -30 + 30 + 13x 5x = -30 + 30 + 13x Combine like terms: -30 + 30 = 0 5x = 0 + 13x 5x = 13x Solving 5x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 5x + -13x = 13x + -13x Combine like terms: 5x + -13x = -8x -8x = 13x + -13x Combine like terms: 13x + -13x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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