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Simplifying 2(4x + -5) + -5 = 10x + -4 Reorder the terms: 2(-5 + 4x) + -5 = 10x + -4 (-5 * 2 + 4x * 2) + -5 = 10x + -4 (-10 + 8x) + -5 = 10x + -4 Reorder the terms: -10 + -5 + 8x = 10x + -4 Combine like terms: -10 + -5 = -15 -15 + 8x = 10x + -4 Reorder the terms: -15 + 8x = -4 + 10x Solving -15 + 8x = -4 + 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. -15 + 8x + -10x = -4 + 10x + -10x Combine like terms: 8x + -10x = -2x -15 + -2x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -2x = -4 + 0 -15 + -2x = -4 Add '15' to each side of the equation. -15 + 15 + -2x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -4 + 15 -2x = -4 + 15 Combine like terms: -4 + 15 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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