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Simplifying 4(8x + -4) + -10 = 40x + -20 + -10 Reorder the terms: 4(-4 + 8x) + -10 = 40x + -20 + -10 (-4 * 4 + 8x * 4) + -10 = 40x + -20 + -10 (-16 + 32x) + -10 = 40x + -20 + -10 Reorder the terms: -16 + -10 + 32x = 40x + -20 + -10 Combine like terms: -16 + -10 = -26 -26 + 32x = 40x + -20 + -10 Reorder the terms: -26 + 32x = -20 + -10 + 40x Combine like terms: -20 + -10 = -30 -26 + 32x = -30 + 40x Solving -26 + 32x = -30 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -26 + 32x + -40x = -30 + 40x + -40x Combine like terms: 32x + -40x = -8x -26 + -8x = -30 + 40x + -40x Combine like terms: 40x + -40x = 0 -26 + -8x = -30 + 0 -26 + -8x = -30 Add '26' to each side of the equation. -26 + 26 + -8x = -30 + 26 Combine like terms: -26 + 26 = 0 0 + -8x = -30 + 26 -8x = -30 + 26 Combine like terms: -30 + 26 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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