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Simplifying -1x + -1(5 + 13x) + -10 = -6(4x + 1) + -9 -1x + (5 * -1 + 13x * -1) + -10 = -6(4x + 1) + -9 -1x + (-5 + -13x) + -10 = -6(4x + 1) + -9 Reorder the terms: -5 + -10 + -1x + -13x = -6(4x + 1) + -9 Combine like terms: -5 + -10 = -15 -15 + -1x + -13x = -6(4x + 1) + -9 Combine like terms: -1x + -13x = -14x -15 + -14x = -6(4x + 1) + -9 Reorder the terms: -15 + -14x = -6(1 + 4x) + -9 -15 + -14x = (1 * -6 + 4x * -6) + -9 -15 + -14x = (-6 + -24x) + -9 Reorder the terms: -15 + -14x = -6 + -9 + -24x Combine like terms: -6 + -9 = -15 -15 + -14x = -15 + -24x Add '15' to each side of the equation. -15 + 15 + -14x = -15 + 15 + -24x Combine like terms: -15 + 15 = 0 0 + -14x = -15 + 15 + -24x -14x = -15 + 15 + -24x Combine like terms: -15 + 15 = 0 -14x = 0 + -24x -14x = -24x Solving -14x = -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -14x + 24x = -24x + 24x Combine like terms: -14x + 24x = 10x 10x = -24x + 24x Combine like terms: -24x + 24x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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