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Simplifying -5(-3x + 2) + -5x = 6(x + -3) + -6 Reorder the terms: -5(2 + -3x) + -5x = 6(x + -3) + -6 (2 * -5 + -3x * -5) + -5x = 6(x + -3) + -6 (-10 + 15x) + -5x = 6(x + -3) + -6 Combine like terms: 15x + -5x = 10x -10 + 10x = 6(x + -3) + -6 Reorder the terms: -10 + 10x = 6(-3 + x) + -6 -10 + 10x = (-3 * 6 + x * 6) + -6 -10 + 10x = (-18 + 6x) + -6 Reorder the terms: -10 + 10x = -18 + -6 + 6x Combine like terms: -18 + -6 = -24 -10 + 10x = -24 + 6x Solving -10 + 10x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 10x + -6x = -24 + 6x + -6x Combine like terms: 10x + -6x = 4x -10 + 4x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 4x = -24 + 0 -10 + 4x = -24 Add '10' to each side of the equation. -10 + 10 + 4x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -24 + 10 4x = -24 + 10 Combine like terms: -24 + 10 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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