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Simplifying 6(x + -1) + -5 = -3(-5x + 3) + -1x Reorder the terms: 6(-1 + x) + -5 = -3(-5x + 3) + -1x (-1 * 6 + x * 6) + -5 = -3(-5x + 3) + -1x (-6 + 6x) + -5 = -3(-5x + 3) + -1x Reorder the terms: -6 + -5 + 6x = -3(-5x + 3) + -1x Combine like terms: -6 + -5 = -11 -11 + 6x = -3(-5x + 3) + -1x Reorder the terms: -11 + 6x = -3(3 + -5x) + -1x -11 + 6x = (3 * -3 + -5x * -3) + -1x -11 + 6x = (-9 + 15x) + -1x Combine like terms: 15x + -1x = 14x -11 + 6x = -9 + 14x Solving -11 + 6x = -9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -11 + 6x + -14x = -9 + 14x + -14x Combine like terms: 6x + -14x = -8x -11 + -8x = -9 + 14x + -14x Combine like terms: 14x + -14x = 0 -11 + -8x = -9 + 0 -11 + -8x = -9 Add '11' to each side of the equation. -11 + 11 + -8x = -9 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = -9 + 11 -8x = -9 + 11 Combine like terms: -9 + 11 = 2 -8x = 2 Divide each side by '-8'. x = -0.25 Simplifying x = -0.25
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