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Simplifying -2(3x + -2) + -4 = -2(5x + 6) + -3 Reorder the terms: -2(-2 + 3x) + -4 = -2(5x + 6) + -3 (-2 * -2 + 3x * -2) + -4 = -2(5x + 6) + -3 (4 + -6x) + -4 = -2(5x + 6) + -3 Reorder the terms: 4 + -4 + -6x = -2(5x + 6) + -3 Combine like terms: 4 + -4 = 0 0 + -6x = -2(5x + 6) + -3 -6x = -2(5x + 6) + -3 Reorder the terms: -6x = -2(6 + 5x) + -3 -6x = (6 * -2 + 5x * -2) + -3 -6x = (-12 + -10x) + -3 Reorder the terms: -6x = -12 + -3 + -10x Combine like terms: -12 + -3 = -15 -6x = -15 + -10x Solving -6x = -15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6x + 10x = -15 + -10x + 10x Combine like terms: -6x + 10x = 4x 4x = -15 + -10x + 10x Combine like terms: -10x + 10x = 0 4x = -15 + 0 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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