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Simplifying -4x + 9x + -1(-4) = 12x + -5 + -1(-10) Multiply -1 * -4 -4x + 9x + 4 = 12x + -5 + -1(-10) Reorder the terms: 4 + -4x + 9x = 12x + -5 + -1(-10) Combine like terms: -4x + 9x = 5x 4 + 5x = 12x + -5 + -1(-10) Multiply -1 * -10 4 + 5x = 12x + -5 + 10 Reorder the terms: 4 + 5x = -5 + 10 + 12x Combine like terms: -5 + 10 = 5 4 + 5x = 5 + 12x Solving 4 + 5x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 5x + -12x = 5 + 12x + -12x Combine like terms: 5x + -12x = -7x 4 + -7x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -7x = 5 + 0 4 + -7x = 5 Add '-4' to each side of the equation. 4 + -4 + -7x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 5 + -4 -7x = 5 + -4 Combine like terms: 5 + -4 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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