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Simplifying 2(x + -5) + -12 = 10(4x + 8) Reorder the terms: 2(-5 + x) + -12 = 10(4x + 8) (-5 * 2 + x * 2) + -12 = 10(4x + 8) (-10 + 2x) + -12 = 10(4x + 8) Reorder the terms: -10 + -12 + 2x = 10(4x + 8) Combine like terms: -10 + -12 = -22 -22 + 2x = 10(4x + 8) Reorder the terms: -22 + 2x = 10(8 + 4x) -22 + 2x = (8 * 10 + 4x * 10) -22 + 2x = (80 + 40x) Solving -22 + 2x = 80 + 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. -22 + 2x + -40x = 80 + 40x + -40x Combine like terms: 2x + -40x = -38x -22 + -38x = 80 + 40x + -40x Combine like terms: 40x + -40x = 0 -22 + -38x = 80 + 0 -22 + -38x = 80 Add '22' to each side of the equation. -22 + 22 + -38x = 80 + 22 Combine like terms: -22 + 22 = 0 0 + -38x = 80 + 22 -38x = 80 + 22 Combine like terms: 80 + 22 = 102 -38x = 102 Divide each side by '-38'. x = -2.684210526 Simplifying x = -2.684210526
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