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Simplifying -2(-7x + 5) + -2x = 4(x + -4) + -8 Reorder the terms: -2(5 + -7x) + -2x = 4(x + -4) + -8 (5 * -2 + -7x * -2) + -2x = 4(x + -4) + -8 (-10 + 14x) + -2x = 4(x + -4) + -8 Combine like terms: 14x + -2x = 12x -10 + 12x = 4(x + -4) + -8 Reorder the terms: -10 + 12x = 4(-4 + x) + -8 -10 + 12x = (-4 * 4 + x * 4) + -8 -10 + 12x = (-16 + 4x) + -8 Reorder the terms: -10 + 12x = -16 + -8 + 4x Combine like terms: -16 + -8 = -24 -10 + 12x = -24 + 4x Solving -10 + 12x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 12x + -4x = -24 + 4x + -4x Combine like terms: 12x + -4x = 8x -10 + 8x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 8x = -24 + 0 -10 + 8x = -24 Add '10' to each side of the equation. -10 + 10 + 8x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = -24 + 10 8x = -24 + 10 Combine like terms: -24 + 10 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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