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Simplifying 2(x + -1) + -3(5x + 4) = x + -14 Reorder the terms: 2(-1 + x) + -3(5x + 4) = x + -14 (-1 * 2 + x * 2) + -3(5x + 4) = x + -14 (-2 + 2x) + -3(5x + 4) = x + -14 Reorder the terms: -2 + 2x + -3(4 + 5x) = x + -14 -2 + 2x + (4 * -3 + 5x * -3) = x + -14 -2 + 2x + (-12 + -15x) = x + -14 Reorder the terms: -2 + -12 + 2x + -15x = x + -14 Combine like terms: -2 + -12 = -14 -14 + 2x + -15x = x + -14 Combine like terms: 2x + -15x = -13x -14 + -13x = x + -14 Reorder the terms: -14 + -13x = -14 + x Add '14' to each side of the equation. -14 + 14 + -13x = -14 + 14 + x Combine like terms: -14 + 14 = 0 0 + -13x = -14 + 14 + x -13x = -14 + 14 + x Combine like terms: -14 + 14 = 0 -13x = 0 + x -13x = x Solving -13x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13x + -1x = x + -1x Combine like terms: -13x + -1x = -14x -14x = x + -1x Combine like terms: x + -1x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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